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42977410590144 = 2633895233109961
BaseRepresentation
bin10011100010110011101010…
…10010101010010111000000
312122011121012122020100222010
421301121311102222113000
521113120214102341034
6231223314434212520
712024005204351052
oct1161316522522700
9178147178210863
1042977410590144
111276a68794a888
1249a1387a24140
131ac99a2117154
14a881912438d2
154e7e1b2073e9
hex2716754aa5c0

42977410590144 has 112 divisors (see below), whose sum is σ = 114026204316960. Its totient is φ = 14286115799040.

The previous prime is 42977410590133. The next prime is 42977410590157. The reversal of 42977410590144 is 44109501477924.

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, 390787324 + ... + 390897284.

Almost surely, 242977410590144 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 42977410590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57013102158480).

42977410590144 is an abundant number, since it is smaller than the sum of its proper divisors (71048793726816).

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

42977410590144 is a wasteful number, since it uses less digits than its factorization.

42977410590144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115598 (or 115588 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 42977410590144 in words is "forty-two trillion, nine hundred seventy-seven billion, four hundred ten million, five hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 389 778 1167 1556 2334 3112 4668 5233 6224 9336 10466 12448 15699 18672 20932 24896 31398 37344 41864 62796 74688 83728 109961 125592 167456 219922 251184 329883 334912 439844 502368 659766 879688 1004736 1319532 1759376 2035637 2639064 3518752 4071274 5278128 6106911 7037504 8142548 10556256 12213822 16285096 21112512 24427644 32570192 42774829 48855288 65140384 85549658 97710576 128324487 130280768 171099316 195421152 256648974 342198632 390842304 513297948 575425913 684397264 1026595896 1150851826 1368794528 1726277739 2053191792 2301703652 2737589056 3452555478 4106383584 4603407304 6905110956 8212767168 9206814608 13810221912 18413629216 27620443824 36827258432 55240887648 110481775296 223840680157 447681360314 671522040471 895362720628 1343044080942 1790725441256 2686088161884 3581450882512 5372176323768 7162901765024 10744352647536 14325803530048 21488705295072 42977410590144