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23120414442 = 23319372272683
BaseRepresentation
bin10101100010000101…
…011000011011101010
32012200022010202011000
4111202011120123222
5334322311230232
614342114415430
71445642165046
oct254205303352
965608122130
1023120414442
119894964634
124592b91576
132245ccc908
1411948b5026
15904b9827c
hex5621586ea

23120414442 has 128 divisors (see below), whose sum is σ = 55810022400. Its totient is φ = 7069923648.

The previous prime is 23120414441. The next prime is 23120414501. The reversal of 23120414442 is 24441402132.

23120414442 is a `hidden beast` number, since 2 + 3 + 1 + 204 + 14 + 442 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23120414441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8616033 + ... + 8618715.

It is an arithmetic number, because the mean of its divisors is an integer number (436015800).

Almost surely, 223120414442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23120414442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27905011200).

23120414442 is an abundant number, since it is smaller than the sum of its proper divisors (32689607958).

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

23120414442 is a wasteful number, since it uses less digits than its factorization.

23120414442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 23120414442 its reverse (24441402132), we get a palindrome (47561816574).

The spelling of 23120414442 in words is "twenty-three billion, one hundred twenty million, four hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 227 333 342 454 513 666 681 703 999 1026 1362 1406 1998 2043 2109 2683 4086 4218 4313 5366 6129 6327 8049 8399 8626 12258 12654 12939 16098 16798 18981 24147 25197 25878 37962 38817 48294 50394 50977 72441 75591 77634 99271 101954 116451 144882 151182 152931 159581 198542 226773 232902 297813 305862 319162 453546 458793 478743 595626 609041 893439 917586 957486 1218082 1376379 1436229 1786878 1827123 1886149 2680317 2752758 2872458 3654246 3772298 4308687 5360634 5481369 5658447 8617374 10962738 11316894 11571779 16444107 16975341 22534517 23143558 32888214 33950682 34715337 45069034 50926023 67603551 69430674 101852046 104146011 135207102 202810653 208292022 312438033 405621306 428155823 608431959 624876066 856311646 1216863918 1284467469 2568934938 3853402407 7706804814 11560207221 23120414442