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13740040224 = 2532311538983
BaseRepresentation
bin11001100101111100…
…00110000000100000
31022110120022100210200
430302332012000200
5211114422241344
610151224425200
7664330262211
oct146276060040
938416270720
1013740040224
115910992649
1227b5618200
1313ac7c0021
14944b67408
155563d3069
hex332f86020

13740040224 has 72 divisors (see below), whose sum is σ = 40333692672. Its totient is φ = 4432268160.

The previous prime is 13740040213. The next prime is 13740040261. The reversal of 13740040224 is 42204004731.

13740040224 is a `hidden beast` number, since 1 + 37 + 400 + 4 + 0 + 224 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 760564 + ... + 778419.

It is an arithmetic number, because the mean of its divisors is an integer number (560190176).

Almost surely, 213740040224 is an apocalyptic number.

It is an amenable number.

13740040224 is an abundant number, since it is smaller than the sum of its proper divisors (26593652448).

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

13740040224 is a wasteful number, since it uses less digits than its factorization.

13740040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539030 (or 1539019 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 13740040224 its reverse (42204004731), we get a palindrome (55944044955).

The spelling of 13740040224 in words is "thirteen billion, seven hundred forty million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 1538983 3077966 4616949 6155932 9233898 12311864 13850847 18467796 24623728 27701694 36935592 47708473 49247456 55403388 73871184 95416946 110806776 143125419 147742368 190833892 221613552 286250838 381667784 429376257 443227104 572501676 763335568 858752514 1145003352 1526671136 1717505028 2290006704 3435010056 4580013408 6870020112 13740040224