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40165032306 = 2372973974657
BaseRepresentation
bin100101011010000001…
…011100000101110010
310211200011121001021010
4211122001130011302
51124224222013211
630241312011350
72621220066360
oct453201340562
9124604531233
1040165032306
1116041128283
12794b230b56
133a31315709
141d3048a630
1510a12354a6
hex95a05c172

40165032306 has 128 divisors (see below), whose sum is σ = 97285870080. Its totient is φ = 10813243392.

The previous prime is 40165032289. The next prime is 40165032307. The reversal of 40165032306 is 60323056104.

It is a super-2 number, since 2×401650323062 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40165032307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8622330 + ... + 8626986.

It is an arithmetic number, because the mean of its divisors is an integer number (760045860).

Almost surely, 240165032306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40165032306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48642935040).

40165032306 is an abundant number, since it is smaller than the sum of its proper divisors (57120837774).

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

40165032306 is a wasteful number, since it uses less digits than its factorization.

40165032306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868.

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 40165032306 in words is "forty billion, one hundred sixty-five million, thirty-two thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 29 42 58 73 87 97 146 174 194 203 219 291 406 438 511 582 609 679 1022 1218 1358 1533 2037 2117 2813 3066 4074 4234 4657 5626 6351 7081 8439 9314 12702 13971 14162 14819 16878 19691 21243 27942 29638 32599 39382 42486 44457 49567 59073 65198 88914 97797 99134 118146 135053 148701 195594 205349 270106 297402 339961 405159 410698 451729 616047 679922 810318 903458 945371 1019883 1232094 1355187 1437443 1890742 2039766 2379727 2710374 2836113 2874886 3162103 4312329 4759454 5672226 6324206 7139181 8624658 9486309 9858869 13100141 14278362 18972618 19717738 26200282 29576607 32976217 39300423 59153214 65952434 69012083 78600846 91700987 98928651 138024166 183401974 197857302 207036249 230833519 275102961 414072498 461667038 550205922 692500557 956310293 1385001114 1912620586 2868930879 5737861758 6694172051 13388344102 20082516153 40165032306