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442612634156 = 2271123201730977
BaseRepresentation
bin1100111000011011100…
…01001101001000101100
31120022110102202110210022
412130031301031020230
524222432313243111
6535200004501312
743656232213010
oct6341561151054
91508412673708
10442612634156
11160790325120
12719460aa838
1332979a68374
14175cb740540
15b7a79592db
hex670dc4d22c

442612634156 has 96 divisors (see below), whose sum is σ = 1008219405312. Its totient is φ = 164861706240.

The previous prime is 442612634129. The next prime is 442612634171. The reversal of 442612634156 is 651436216244.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14272940 + ... + 14303916.

It is an arithmetic number, because the mean of its divisors is an integer number (10502285472).

Almost surely, 2442612634156 is an apocalyptic number.

442612634156 is a gapful number since it is divisible by the number (46) 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 442612634156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504109702656).

442612634156 is an abundant number, since it is smaller than the sum of its proper divisors (565606771156).

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

442612634156 is a wasteful number, since it uses less digits than its factorization.

442612634156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33039 (or 33037 counting only the distinct ones).

The product of its digits is 829440, while the sum is 44.

The spelling of 442612634156 in words is "four hundred forty-two billion, six hundred twelve million, six hundred thirty-four thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 2017 3542 4034 7084 8068 14119 22187 28238 30977 44374 46391 56476 61954 88748 92782 123908 155309 185564 216839 310618 324737 340747 433678 510301 621236 649474 681494 712471 867356 1020602 1298948 1362988 1424942 2041204 2385229 2849884 3572107 4770458 4987297 7144214 7837181 9540916 9974594 14288428 15674362 19949188 31348724 54860267 62480609 109720534 124961218 219441068 249922436 437364263 687286699 874728526 1374573398 1437054007 1749457052 2749146796 2874108014 4811006893 5748216028 9622013786 10059378049 15807594077 19244027572 20118756098 31615188154 40237512196 63230376308 110653158539 221306317078 442612634156