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316125430248 = 233174733194967
BaseRepresentation
bin1001001100110101000…
…10110100000111101000
31010012222022202202111110
410212122202310013220
520134411102231443
6401120453030320
731560611551455
oct4463242640750
91105868682443
10316125430248
11112082622761
12513259253a0
1323a6c890604
141142ca0482c
1583531ce233
hex499a8b41e8

316125430248 has 128 divisors (see below), whose sum is σ = 855036518400. Its totient is φ = 97017682944.

The previous prime is 316125430223. The next prime is 316125430273. The reversal of 316125430248 is 842034521613.

It is an interprime number because it is at equal distance from previous prime (316125430223) and next prime (316125430273).

It is a super-2 number, since 2×3161254302482 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 63642661 + ... + 63647627.

It is an arithmetic number, because the mean of its divisors is an integer number (6679972800).

Almost surely, 2316125430248 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 316125430248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427518259200).

316125430248 is an abundant number, since it is smaller than the sum of its proper divisors (538911088152).

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

316125430248 is a wasteful number, since it uses less digits than its factorization.

316125430248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8359 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 316125430248 in words is "three hundred sixteen billion, one hundred twenty-five million, four hundred thirty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 564 799 1128 1598 2397 3196 3319 4794 4967 6392 6638 9588 9934 9957 13276 14901 19176 19868 19914 26552 29802 39736 39828 56423 59604 79656 84439 112846 119208 155993 168878 169269 225692 233449 253317 311986 337756 338538 451384 466898 467979 506634 623972 675512 677076 700347 933796 935958 1013268 1247944 1354152 1400694 1867592 1871916 2026536 2651881 2801388 3743832 3968633 5303762 5602776 7937266 7955643 10607524 11905899 15874532 15911286 16485473 21215048 23811798 31749064 31822572 32970946 47623596 49456419 63645144 65941892 95247192 98912838 131883784 197825676 280253041 395651352 560506082 774817231 840759123 1121012164 1549634462 1681518246 2242024328 2324451693 3099268924 3363036492 4648903386 6198537848 6726072984 9297806772 13171892927 18595613544 26343785854 39515678781 52687571708 79031357562 105375143416 158062715124 316125430248