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20114031440 = 2451714789729
BaseRepresentation
bin10010101110111000…
…111100001101010000
31220220210002122222102
4102232320330031100
5312143143001230
613123521255532
71311305306036
oct225670741520
956823078872
1020114031440
118591934588
123a941945a8
131b871c1c69
14d8b4ca556
157cac93045
hex4aee3c350

20114031440 has 40 divisors (see below), whose sum is σ = 49516016040. Its totient is φ = 7572340736.

The previous prime is 20114031403. The next prime is 20114031451. The reversal of 20114031440 is 4413041102.

It can be written as a sum of positive squares in 4 ways, for example, as 2539756816 + 17574274624 = 50396^2 + 132568^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7393505 + ... + 7396224.

It is an arithmetic number, because the mean of its divisors is an integer number (1237900401).

Almost surely, 220114031440 is an apocalyptic number.

20114031440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20114031440 is an abundant number, since it is smaller than the sum of its proper divisors (29401984600).

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

20114031440 is a wasteful number, since it uses less digits than its factorization.

20114031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14789759 (or 14789753 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20114031440 its reverse (4413041102), we get a palindrome (24527072542).

The spelling of 20114031440 in words is "twenty billion, one hundred fourteen million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 14789729 29579458 59158916 73948645 118317832 147897290 236635664 251425393 295794580 502850786 591589160 1005701572 1183178320 1257126965 2011403144 2514253930 4022806288 5028507860 10057015720 20114031440