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113450114040 = 233517349159349
BaseRepresentation
bin110100110101000100…
…1110101101111111000
3101211211112101221002120
41221222021311233320
53324321212122130
6124041313401240
711124254025654
oct1515211655770
9354745357076
10113450114040
11441286a492a
1219ba2269220
13a91021acc3
1456c34b7a64
152e3ee4d910
hex1a6a275bf8

113450114040 has 128 divisors (see below), whose sum is σ = 361405800000. Its totient is φ = 28391989248.

The previous prime is 113450114033. The next prime is 113450114053. The reversal of 113450114040 is 40411054311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113450114040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632286 + ... + 791634.

Almost surely, 2113450114040 is an apocalyptic number.

113450114040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113450114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180702900000).

113450114040 is an abundant number, since it is smaller than the sum of its proper divisors (247955685960).

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

113450114040 is a wasteful number, since it uses less digits than its factorization.

113450114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159729 (or 159725 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 113450114040 its reverse (40411054311), we get a palindrome (153861168351).

The spelling of 113450114040 in words is "one hundred thirteen billion, four hundred fifty million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 349 408 510 680 698 1020 1047 1396 1745 2040 2094 2792 3490 4188 5235 5933 6980 8376 10470 11866 13960 17799 20940 23732 29665 35598 41880 47464 59330 71196 88995 118660 142392 159349 177990 237320 318698 355980 478047 637396 711960 796745 956094 1274792 1593490 1912188 2390235 2708933 3186980 3824376 4780470 5417866 6373960 8126799 9560940 10835732 13544665 16253598 19121880 21671464 27089330 32507196 40633995 54178660 55612801 65014392 81267990 108357320 111225602 162535980 166838403 222451204 278064005 325071960 333676806 444902408 556128010 667353612 834192015 945417617 1112256020 1334707224 1668384030 1890835234 2224512040 2836252851 3336768060 3781670468 4727088085 5672505702 6673536120 7563340936 9454176170 11345011404 14181264255 18908352340 22690022808 28362528510 37816704680 56725057020 113450114040