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315255013120 = 2853761310859
BaseRepresentation
bin1001001011001101010…
…10011011111100000000
31010010201122220222200001
410211212222123330000
520131120240404440
6400454241005344
731530212253265
oct4454652337400
91103648828601
10315255013120
11111776266463
1251122323854
13239614540a8
141138918926c
158301a97b9a
hex4966a9bf00

315255013120 has 144 divisors (see below), whose sum is σ = 776880004320. Its totient is φ = 122482409472.

The previous prime is 315255013111. The next prime is 315255013121. The reversal of 315255013120 is 21310552513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315255013121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29026251 + ... + 29037109.

It is an arithmetic number, because the mean of its divisors is an integer number (5395000030).

Almost surely, 2315255013120 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 315255013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388440002160).

315255013120 is an abundant number, since it is smaller than the sum of its proper divisors (461624991200).

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

315255013120 is a wasteful number, since it uses less digits than its factorization.

315255013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11516 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 315255013120 its reverse (21310552513), we get a palindrome (336565565633).

The spelling of 315255013120 in words is "three hundred fifteen billion, two hundred fifty-five million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 613 640 740 1184 1226 1280 1480 2368 2452 2960 3065 4736 4904 5920 6130 9472 9808 10859 11840 12260 19616 21718 22681 23680 24520 39232 43436 45362 47360 49040 54295 78464 86872 90724 98080 108590 113405 156928 173744 181448 196160 217180 226810 347488 362896 392320 401783 434360 453620 694976 725792 784640 803566 868720 907240 1389952 1451584 1607132 1737440 1814480 2008915 2779904 2903168 3214264 3474880 3628960 4017830 5806336 6428528 6656567 6949760 7257920 8035660 12857056 13313134 13899520 14515840 16071320 25714112 26626268 29031680 32142640 33282835 51428224 53252536 64285280 66565670 102856448 106505072 128570560 133131340 213010144 246292979 257141120 266262680 426020288 492585958 514282240 532525360 852040576 985171916 1065050720 1231464895 1704081152 1970343832 2130101440 2462929790 3940687664 4260202880 4925859580 7881375328 8520405760 9851719160 15762750656 19703438320 31525501312 39406876640 63051002624 78813753280 157627506560 315255013120