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42443644634424 = 23331117863486799
BaseRepresentation
bin10011010011010001011100…
…10111001000010100111000
312120021120110120102101022000
421221220232113020110320
521030344041011300144
6230134201405301000
711640311036524665
oct1151505627102470
9176246416371260
1042443644634424
1112584280990060
124915a42864760
131a8b559629927
14a6a3d7786a6c
154d90cb056769
hex269a2e5c8538

42443644634424 has 64 divisors (see below), whose sum is σ = 128617104960000. Its totient is φ = 12861710494560.

The previous prime is 42443644634411. The next prime is 42443644634491.

It is a happy number.

42443644634424 is a `hidden beast` number, since 4 + 24 + 43 + 64 + 463 + 44 + 24 = 666.

42443644634424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8931741024 + ... + 8931745775.

It is an arithmetic number, because the mean of its divisors is an integer number (2009642265000).

Almost surely, 242443644634424 is an apocalyptic number.

42443644634424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42443644634424 is an abundant number, since it is smaller than the sum of its proper divisors (86173460325576).

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

42443644634424 is a wasteful number, since it uses less digits than its factorization.

42443644634424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17863486825 (or 17863486815 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 54.

It can be divided in two parts, 4244364 and 4634424, that added together give a palindrome (8878788).

The spelling of 42443644634424 in words is "forty-two trillion, four hundred forty-three billion, six hundred forty-four million, six hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 17863486799 35726973598 53590460397 71453947196 107180920794 142907894392 160771381191 196498354789 214361841588 321542762382 392996709578 428723683176 482314143573 589495064367 643085524764 785993419156 964628287146 1178990128734 1286171049528 1571986838312 1768485193101 1929256574292 2357980257468 3536970386202 3858513148584 4715960514936 5305455579303 7073940772404 10610911158606 14147881544808 21221822317212 42443644634424