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142313444 = 22731379101
BaseRepresentation
bin10000111101110…
…00011111100100
3100220210021100022
420132320133210
5242413012234
622042134312
73345434000
oct1036703744
9326707308
10142313444
1173372219
123b7b1398
132363a350
1414c87700
15c761e2e
hex87b87e4

142313444 has 96 divisors (see below), whose sum is σ = 319872000. Its totient is φ = 55036800.

The previous prime is 142313441. The next prime is 142313449. The reversal of 142313444 is 444313241.

It is a super-2 number, since 2×1423134442 = 40506232686282272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (142313441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408994 + ... + 1409094.

It is an arithmetic number, because the mean of its divisors is an integer number (3332000).

Almost surely, 2142313444 is an apocalyptic number.

142313444 is a gapful number since it is divisible by the number (14) 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 142313444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159936000).

142313444 is an abundant number, since it is smaller than the sum of its proper divisors (177558556).

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

142313444 is a wasteful number, since it uses less digits than its factorization.

142313444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 142313444 is about 11929.5198562222. The cubic root of 142313444 is about 522.0939286747.

Adding to 142313444 its reverse (444313241), we get a palindrome (586626685).

The spelling of 142313444 in words is "one hundred forty-two million, three hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 79 91 98 101 158 182 196 202 316 343 364 404 553 637 686 707 1027 1106 1274 1313 1372 1414 2054 2212 2548 2626 2828 3871 4108 4459 4949 5252 7189 7742 7979 8918 9191 9898 14378 15484 15958 17836 18382 19796 27097 28756 31916 34643 36764 50323 54194 55853 64337 69286 100646 103727 108388 111706 128674 138572 201292 207454 223412 257348 352261 390971 414908 450359 704522 726089 781942 900718 1409044 1452178 1563884 1801436 2736797 2904356 5082623 5473594 10165246 10947188 20330492 35578361 71156722 142313444