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514734759344 = 2413103191125791
BaseRepresentation
bin1110111110110001001…
…01010001110110110000
31211012121202021001011002
413133120211101312300
531413134044244334
61032244344141132
752121415156401
oct7373045216660
91735552231132
10514734759344
11189330397263
12839137677a8
1339701a493a0
141acb01219a8
15d5c9502b7e
hex77d8951db0

514734759344 has 80 divisors (see below), whose sum is σ = 1090127560704. Its totient is φ = 234029779200.

The previous prime is 514734759277. The next prime is 514734759359. The reversal of 514734759344 is 443957437415.

It is a self number, because there is not a number n which added to its sum of digits gives 514734759344.

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, 4029089 + ... + 4154879.

Almost surely, 2514734759344 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 514734759344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545063780352).

514734759344 is an abundant number, since it is smaller than the sum of its proper divisors (575392801360).

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

514734759344 is a wasteful number, since it uses less digits than its factorization.

514734759344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126106 (or 126100 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 56.

The spelling of 514734759344 in words is "five hundred fourteen billion, seven hundred thirty-four million, seven hundred fifty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 103 104 191 206 208 382 412 764 824 1339 1528 1648 2483 2678 3056 4966 5356 9932 10712 19673 19864 21424 39346 39728 78692 125791 157384 251582 255749 314768 503164 511498 1006328 1022996 1635283 2012656 2045992 3270566 4091984 6541132 12956473 13082264 24026081 25912946 26164528 48052162 51825892 96104324 103651784 168434149 192208648 207303568 312339053 336868298 384417296 624678106 673736596 1249356212 1347473192 2474686343 2498712424 2694946384 4949372686 4997424848 9898745372 19797490744 32170922459 39594981488 64341844918 128683689836 257367379672 514734759344