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40172753313 = 3271157969341
BaseRepresentation
bin100101011010011110…
…111001000110100001
310211200201010022111100
4211122132321012201
51124233211101223
630242145305013
72621342524530
oct453236710641
9124621108440
1040172753313
1116045521180
127951935169
133a32ab9b64
141d314da317
1510a1c5d043
hex95a7b91a1

40172753313 has 24 divisors (see below), whose sum is σ = 72345738816. Its totient is φ = 20868962400.

The previous prime is 40172753279. The next prime is 40172753371. The reversal of 40172753313 is 31335727104.

40172753313 is a `hidden beast` number, since 40 + 1 + 72 + 7 + 533 + 13 = 666.

40172753313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40172753313 - 26 = 40172753249 is a prime.

It is a super-2 number, since 2×401727533132 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40172753393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28983978 + ... + 28985363.

It is an arithmetic number, because the mean of its divisors is an integer number (3014405784).

Almost surely, 240172753313 is an apocalyptic number.

It is an amenable number.

40172753313 is a deficient number, since it is larger than the sum of its proper divisors (32172985503).

40172753313 is a wasteful number, since it uses less digits than its factorization.

40172753313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57969365 (or 57969362 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 40172753313 in words is "forty billion, one hundred seventy-two million, seven hundred fifty-three thousand, three hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 57969341 173908023 405785387 521724069 637662751 1217356161 1912988253 3652068483 4463639257 5738964759 13390917771 40172753313