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51140415024 = 243219113031427
BaseRepresentation
bin101111101000001101…
…001100111000110000
311220000001201020221100
4233220031030320300
51314213421240044
635254340324400
73460210232616
oct575015147060
9156001636840
1051140415024
111a763481806
129ab29a3700
134a9010110a
142691d8d6b6
1514e4a60869
hexbe834ce30

51140415024 has 120 divisors (see below), whose sum is σ = 144082778112. Its totient is φ = 16932666240.

The previous prime is 51140415013. The next prime is 51140415047. The reversal of 51140415024 is 42051404115.

51140415024 is a `hidden beast` number, since 5 + 114 + 0 + 41 + 502 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35836999 + ... + 35838425.

Almost surely, 251140415024 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 51140415024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72041389056).

51140415024 is an abundant number, since it is smaller than the sum of its proper divisors (92942363088).

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

51140415024 is a wasteful number, since it uses less digits than its factorization.

51140415024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 51140415024 its reverse (42051404115), we get a palindrome (93191819139).

The spelling of 51140415024 in words is "fifty-one billion, one hundred forty million, four hundred fifteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1146 1303 1427 1528 1719 2292 2606 2854 3056 3438 3909 4281 4584 5212 5708 6876 7818 8562 9168 10424 11416 11727 12843 13752 15636 17124 20848 22832 23454 25686 27504 31272 34248 46908 51372 62544 68496 93816 102744 187632 205488 248873 272557 497746 545114 746619 817671 995492 1090228 1493238 1635342 1859381 1990984 2180456 2239857 2453013 2986476 3270684 3718762 3981968 4360912 4479714 4906026 5578143 5972952 6541368 7437524 8959428 9812052 11156286 11945904 13082736 14875048 16734429 17918856 19624104 22312572 29750096 33468858 35837712 39248208 44625144 66937716 89250288 133875432 267750864 355141771 710283542 1065425313 1420567084 2130850626 2841134168 3196275939 4261701252 5682268336 6392551878 8523402504 12785103756 17046805008 25570207512 51140415024