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4342403142 = 2337117871327
BaseRepresentation
bin1000000101101001…
…11101000001000110
3102012121222221021000
410002310331001012
532343123400032
61554520434130
7212415550320
oct40264750106
912177887230
104342403142
11192919a830
12a12318946
13542847b1c
142d2a04610
151a635ce7c
hex102d3d046

4342403142 has 128 divisors (see below), whose sum is σ = 12055265280. Its totient is φ = 1125614880.

The previous prime is 4342403137. The next prime is 4342403201. The reversal of 4342403142 is 2413042434.

It is a happy number.

4342403142 is a `hidden beast` number, since 4 + 342 + 4 + 0 + 314 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3271683 + ... + 3273009.

It is an arithmetic number, because the mean of its divisors is an integer number (94181760).

Almost surely, 24342403142 is an apocalyptic number.

4342403142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342403142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027632640).

4342403142 is an abundant number, since it is smaller than the sum of its proper divisors (7712862138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4342403142 is a wasteful number, since it uses less digits than its factorization.

4342403142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4342403142 is about 65896.9129929468. The cubic root of 4342403142 is about 1631.4610636661.

Adding to 4342403142 its reverse (2413042434), we get a palindrome (6755445576).

The spelling of 4342403142 in words is "four billion, three hundred forty-two million, four hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 787 1327 1386 1574 2079 2361 2654 3981 4158 4722 5509 7083 7962 8657 9289 11018 11943 14166 14597 16527 17314 18578 21249 23886 25971 27867 29194 33054 35829 42498 43791 49581 51942 55734 60599 71658 77913 83601 87582 99162 102179 121198 131373 148743 155826 167202 181797 204358 233739 250803 262746 297486 306537 363594 394119 467478 501606 545391 613074 788238 919611 1044349 1090782 1636173 1839222 2088698 2758833 3133047 3272346 5517666 6266094 7310443 9399141 11487839 14620886 18798282 21931329 22975678 28197423 34463517 43862658 56394846 65793987 68927034 80414873 103390551 131587974 160829746 197381961 206781102 241244619 310171653 394763922 482489238 620343306 723733857 1447467714 2171201571 4342403142