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40100511440 = 2451145568763
BaseRepresentation
bin100101010110001011…
…010011111011010000
310211111200012001021102
4211112023103323100
51124111212331230
630231045043532
72616504503033
oct452613237320
9124450161242
1040100511440
1116008769850
1279316b65a8
133a20b44aa2
141d25a9301a
15109a73d045
hex9562d3ed0

40100511440 has 40 divisors (see below), whose sum is σ = 101709481248. Its totient is φ = 14582003840.

The previous prime is 40100511391. The next prime is 40100511463. The reversal of 40100511440 is 4411500104.

40100511440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22783502 + ... + 22785261.

Almost surely, 240100511440 is an apocalyptic number.

40100511440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40100511440 is an abundant number, since it is smaller than the sum of its proper divisors (61608969808).

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

40100511440 is a wasteful number, since it uses less digits than its factorization.

40100511440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45568787 (or 45568781 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 40100511440 in words is "forty billion, one hundred million, five hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 45568763 91137526 182275052 227843815 364550104 455687630 501256393 729100208 911375260 1002512786 1822750520 2005025572 2506281965 3645501040 4010051144 5012563930 8020102288 10025127860 20050255720 40100511440