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13494740940072 = 2332723825039949
BaseRepresentation
bin1100010001011111110100…
…1111010111010100101000
31202210002021200212022112200
43010113331033113110220
53232044212140040242
644411222015540200
72561651155245600
oct304277517272450
952702250768480
1013494740940072
1143330a64a9677
12161b45552a660
1376b7193b21c2
143492129cdc00
1518606874004c
hexc45fd3d7528

13494740940072 has 72 divisors (see below), whose sum is σ = 42515319044250. Its totient is φ = 3855640267584.

The previous prime is 13494740940061. The next prime is 13494740940073. The reversal of 13494740940072 is 27004904749431.

It is a happy number.

13494740940072 is a `hidden beast` number, since 1 + 3 + 494 + 7 + 40 + 9 + 40 + 0 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9494076912516 + 4000664027556 = 3081246^2 + 2000166^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13494740940073) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1912516447 + ... + 1912523502.

Almost surely, 213494740940072 is an apocalyptic number.

13494740940072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13494740940072 is an abundant number, since it is smaller than the sum of its proper divisors (29020578104178).

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

13494740940072 is a wasteful number, since it uses less digits than its factorization.

13494740940072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825039975 (or 3825039961 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 13494740940072 in words is "thirteen trillion, four hundred ninety-four billion, seven hundred forty million, nine hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 3825039949 7650079898 11475119847 15300159796 22950239694 26775279643 30600319592 34425359541 45900479388 53550559286 68850719082 80325838929 91800958776 107101118572 137701438164 160651677858 187426957501 214202237144 240977516787 275402876328 321303355716 374853915002 481955033574 562280872503 642606711432 749707830004 963910067148 1124561745006 1499415660008 1686842617509 1927820134296 2249123490012 3373685235018 4498246980024 6747370470036 13494740940072