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42442142544 = 24321973321163
BaseRepresentation
bin100111100001101111…
…111011001101010000
311001112212101020021100
4213201233323031100
51143410142030134
631255254224400
73031520154624
oct474157731520
9131485336240
1042442142544
1116aaa53496a
128285955100
134005005019
1420a8a7b184
1511860d4999
hex9e1bfb350

42442142544 has 120 divisors (see below), whose sum is σ = 125207070560. Its totient is φ = 13383864576.

The previous prime is 42442142537. The next prime is 42442142593. The reversal of 42442142544 is 44524124424.

42442142544 is a `hidden beast` number, since 424 + 42 + 142 + 54 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42442142499 and 42442142508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1994907 + ... + 2016069.

Almost surely, 242442142544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42442142544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62603535280).

42442142544 is an abundant number, since it is smaller than the sum of its proper divisors (82764928016).

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

42442142544 is a wasteful number, since it uses less digits than its factorization.

42442142544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21929 (or 21920 counting only the distinct ones).

The product of its digits is 163840, while the sum is 36.

Adding to 42442142544 its reverse (44524124424), we get a palindrome (86966266968).

The spelling of 42442142544 in words is "forty-two billion, four hundred forty-two million, one hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 733 912 1368 1466 2199 2736 2932 4398 5864 6597 8796 11728 13194 13927 17592 21163 26388 27854 35184 41781 42326 52776 55708 63489 83562 84652 105552 111416 125343 126978 167124 169304 190467 222832 250686 253956 334248 338608 380934 402097 501372 507912 668496 761868 804194 1002744 1015824 1206291 1523736 1608388 2005488 2412582 3047472 3216776 3618873 4825164 6433552 7237746 9650328 14475492 15512479 19300656 28950984 31024958 46537437 57901968 62049916 93074874 124099832 139612311 186149748 248199664 279224622 294737101 372299496 558449244 589474202 744598992 884211303 1116898488 1178948404 1768422606 2233796976 2357896808 2652633909 3536845212 4715793616 5305267818 7073690424 10610535636 14147380848 21221071272 42442142544