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40115626812 = 223590745503
BaseRepresentation
bin100101010111000100…
…111110001100111100
310211112201121222200000
4211113010332030330
51124124100024222
630232345034300
72620050126132
oct452704761474
9124481558600
1040115626812
1116016253198
127936785990
133a24007ab1
141d27aa9752
15109bc269ac
hex95713e33c

40115626812 has 72 divisors (see below), whose sum is σ = 105277326336. Its totient is φ = 13356839088.

The previous prime is 40115626777. The next prime is 40115626931. The reversal of 40115626812 is 21862651104.

It is a happy number.

40115626812 is a `hidden beast` number, since 4 + 0 + 1 + 15 + 626 + 8 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 858853 + ... + 904355.

It is an arithmetic number, because the mean of its divisors is an integer number (1462185088).

Almost surely, 240115626812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40115626812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52638663168).

40115626812 is an abundant number, since it is smaller than the sum of its proper divisors (65161699524).

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

40115626812 is a wasteful number, since it uses less digits than its factorization.

40115626812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46429 (or 46415 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 40115626812 in words is "forty billion, one hundred fifteen million, six hundred twenty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 907 972 1814 2721 3628 5442 8163 10884 16326 24489 32652 45503 48978 73467 91006 97956 136509 146934 182012 220401 273018 293868 409527 440802 546036 819054 881604 1228581 1638108 2457162 3685743 4914324 7371486 11057229 14742972 22114458 41271221 44228916 82542442 123813663 165084884 247627326 371440989 495254652 742881978 1114322967 1485763956 2228645934 3342968901 4457291868 6685937802 10028906703 13371875604 20057813406 40115626812