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40006734124 = 22729793491787
BaseRepresentation
bin100101010000100101…
…100101000100101100
310211021010201122222111
4211100211211010230
51123413210442444
630213455053404
72614255425550
oct452045450454
9124233648874
1040006734124
1115a6a838535
127906211264
133a0759c756
141d17441860
1510923b7234
hex95096512c

40006734124 has 96 divisors (see below), whose sum is σ = 84107520000. Its totient is φ = 16289005824.

The previous prime is 40006734113. The next prime is 40006734167. The reversal of 40006734124 is 42143760004.

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, 22386759 + ... + 22388545.

It is an arithmetic number, because the mean of its divisors is an integer number (876120000).

Almost surely, 240006734124 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 40006734124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42053760000).

40006734124 is an abundant number, since it is smaller than the sum of its proper divisors (44100785876).

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

40006734124 is a wasteful number, since it uses less digits than its factorization.

40006734124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 40006734124 in words is "forty billion, six million, seven hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 58 79 116 158 203 316 349 406 553 698 812 1106 1396 1787 2212 2291 2443 3574 4582 4886 7148 9164 9772 10121 12509 16037 20242 25018 27571 32074 40484 50036 51823 55142 64148 70847 103646 110284 141173 141694 192997 207292 282346 283388 362761 385994 564692 623663 725522 771988 799559 988211 1247326 1451044 1599118 1976422 2494652 3198236 3952844 4094017 4365641 5596913 8188034 8731282 11193826 16376068 17462564 18086227 22387652 28658119 36172454 49269377 57316238 72344908 98538754 114632476 126603589 197077508 253207178 344885639 506414356 689771278 1379542556 1428811933 2857623866 5715247732 10001683531 20003367062 40006734124