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115153334434120 = 23525719975609257
BaseRepresentation
bin11010001011101100111001…
…100101111111100101001000
3120002201112212212110020002211
4122023230321211333211020
5110043133012103342440
61044524413405234504
733153360655462363
oct3213547145774510
9502645785406084
10115153334434120
1133767289279584
1210ab95a2862a34
134c33bb36924c8
142061645c590da
15d4a608618eea
hex68bb3997f948

115153334434120 has 64 divisors (see below), whose sum is σ = 260233447578480. Its totient is φ = 45859123101696.

The previous prime is 115153334434091. The next prime is 115153334434153. The reversal of 115153334434120 is 21434433351511.

It can be written as a sum of positive squares in 8 ways, for example, as 79456222647684 + 35697111786436 = 8913822^2 + 5974706^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 17724532 + ... + 23333788.

Almost surely, 2115153334434120 is an apocalyptic number.

115153334434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115153334434120 is an abundant number, since it is smaller than the sum of its proper divisors (145080113144360).

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

115153334434120 is a wasteful number, since it uses less digits than its factorization.

115153334434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611522 (or 5611518 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

Adding to 115153334434120 its reverse (21434433351511), we get a palindrome (136587767785631).

The spelling of 115153334434120 in words is "one hundred fifteen trillion, one hundred fifty-three billion, three hundred thirty-four million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 257 514 1028 1285 1997 2056 2570 3994 5140 7988 9985 10280 15976 19970 39940 79880 513229 1026458 2052916 2566145 4105832 5132290 5609257 10264580 11218514 20529160 22437028 28046285 44874056 56092570 112185140 224370280 1441579049 2883158098 5766316196 7207895245 11201686229 11532632392 14415790490 22403372458 28831580980 44806744916 56008431145 57663161960 89613489832 112016862290 224033724580 448067449160 2878833360853 5757666721706 11515333443412 14394166804265 23030666886824 28788333608530 57576667217060 115153334434120