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130715858448 = 24327177628143
BaseRepresentation
bin111100110111101000…
…1011011011000010000
3110111101210221121210200
41321233101123120100
54120201224432243
6140014450255200
712305155315140
oct1715721333020
9414353847720
10130715858448
115048877018a
1221400587500
13c4322a7206
1464805b0920
153600b19ad3
hex1e6f45b610

130715858448 has 120 divisors (see below), whose sum is σ = 442676452608. Its totient is φ = 35150478336.

The previous prime is 130715858407. The next prime is 130715858453. The reversal of 130715858448 is 844858517031.

130715858448 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 1 + 58 + 584 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130715858394 and 130715858403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3796936 + ... + 3831207.

Almost surely, 2130715858448 is an apocalyptic number.

130715858448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130715858448 is an abundant number, since it is smaller than the sum of its proper divisors (311960594160).

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

130715858448 is a wasteful number, since it uses less digits than its factorization.

130715858448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628181 (or 7628172 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 130715858448 in words is "one hundred thirty billion, seven hundred fifteen million, eight hundred fifty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 7628143 15256286 22884429 30512572 45768858 53397001 61025144 68653287 91537716 106794002 122050288 129678431 137306574 160191003 183075432 213588004 259356862 274613148 320382006 366150864 389035293 427176008 480573009 518713724 549226296 640764012 778070586 854352016 907749017 961146018 1037427448 1098452592 1167105879 1281528024 1556141172 1815498034 1922292036 2074854896 2334211758 2563056048 2723247051 3112282344 3630996068 3844584072 4668423516 5446494102 6224564688 7261992136 7689168144 8169741153 9336847032 10892988204 14523984272 16339482306 18673694064 21785976408 32678964612 43571952816 65357929224 130715858448