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144036420 = 223511229953
BaseRepresentation
bin10001001010111…
…01001001000100
3101001000210211020
420211131021010
5243333131140
622143111140
73366201153
oct1045351104
9331023736
10144036420
1174339770
12402a24b0
1323ac1668
14151b559a
15c9a26d0
hex895d244

144036420 has 96 divisors (see below), whose sum is σ = 442350720. Its totient is φ = 34728960.

The previous prime is 144036401. The next prime is 144036439. The reversal of 144036420 is 24630441.

It is an interprime number because it is at equal distance from previous prime (144036401) and next prime (144036439).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150664 + ... + 151616.

It is an arithmetic number, because the mean of its divisors is an integer number (4607820).

Almost surely, 2144036420 is an apocalyptic number.

144036420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144036420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221175360).

144036420 is an abundant number, since it is smaller than the sum of its proper divisors (298314300).

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

144036420 is a wasteful number, since it uses less digits than its factorization.

144036420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 144036420 is about 12001.5174040619. The cubic root of 144036420 is about 524.1924637288.

Adding to 144036420 its reverse (24630441), we get a palindrome (168666861).

The spelling of 144036420 in words is "one hundred forty-four million, thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 229 330 458 660 687 916 953 1145 1374 1906 2290 2519 2748 2859 3435 3812 4580 4765 5038 5718 6870 7557 9530 10076 10483 11436 12595 13740 14295 15114 19060 20966 25190 28590 30228 31449 37785 41932 50380 52415 57180 62898 75570 104830 125796 151140 157245 209660 218237 314490 436474 628980 654711 872948 1091185 1309422 2182370 2400607 2618844 3273555 4364740 4801214 6547110 7201821 9602428 12003035 13094220 14403642 24006070 28807284 36009105 48012140 72018210 144036420