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40114401920 = 27562678753
BaseRepresentation
bin100101010111000000…
…010011001010000000
310211112122022202102122
4211113000103022000
51124123241330140
630232302503412
72620033535045
oct452700231200
9124478282378
1040114401920
111601559698a
127936294b68
133a239993c8
141d2786b1cc
15109ba83ab5
hex957013280

40114401920 has 32 divisors (see below), whose sum is σ = 95898493620. Its totient is φ = 16045760512.

The previous prime is 40114401907. The next prime is 40114401923. The reversal of 40114401920 is 2910441104.

It can be written as a sum of positive squares in 2 ways, for example, as 33057057856 + 7057344064 = 181816^2 + 84008^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 40114401920.

It is not an unprimeable number, because it can be changed into a prime (40114401923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31338737 + ... + 31340016.

Almost surely, 240114401920 is an apocalyptic number.

40114401920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40114401920 is an abundant number, since it is smaller than the sum of its proper divisors (55784091700).

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

40114401920 is an equidigital number, since it uses as much as digits as its factorization.

40114401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62678772 (or 62678760 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 40114401920 in words is "forty billion, one hundred fourteen million, four hundred one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 62678753 125357506 250715012 313393765 501430024 626787530 1002860048 1253575060 2005720096 2507150120 4011440192 5014300240 8022880384 10028600480 20057200960 40114401920