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40147275465 = 3251127373237
BaseRepresentation
bin100101011000111101…
…101100111011001001
310211121221011220110100
4211120331230323021
51124210200303330
630235435240013
72620613132223
oct453075547311
9124557156410
1040147275465
11160320aa300
1279452a9009
133a2a7392cb
141d2bd87413
15109e8c9060
hex958f6cec9

40147275465 has 36 divisors (see below), whose sum is σ = 76489971012. Its totient is φ = 19465343040.

The previous prime is 40147275457. The next prime is 40147275479. The reversal of 40147275465 is 56457274104.

40147275465 is a `hidden beast` number, since 40 + 1 + 47 + 27 + 546 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30221736336 + 9925539129 = 173844^2 + 99627^2 .

It is not a de Polignac number, because 40147275465 - 23 = 40147275457 is a prime.

It is a super-2 number, since 2×401472754652 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40147275465.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3681174 + ... + 3692063.

It is an arithmetic number, because the mean of its divisors is an integer number (2124721417).

Almost surely, 240147275465 is an apocalyptic number.

40147275465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40147275465 is a deficient number, since it is larger than the sum of its proper divisors (36342695547).

40147275465 is a wasteful number, since it uses less digits than its factorization.

40147275465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7373270 (or 7373256 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 40147275465 in words is "forty billion, one hundred forty-seven million, two hundred seventy-five thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 7373237 22119711 36866185 66359133 81105607 110598555 243316821 331795665 405528035 729950463 892161677 1216584105 2676485031 3649752315 4460808385 8029455093 13382425155 40147275465