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20040113331344 = 2429411053412181
BaseRepresentation
bin1001000111001111100111…
…10101100001110010010000
32121221211000221202212112102
410203213303311201302100
510111314123003100334
6110342145002015532
74135564455510521
oct443476365416220
977854027685472
1020040113331344
116426a67592647
1222b7aa94a75a8
13b24a0b996a62
144d3d378ca848
1524b4517a767e
hex1239f3d61c90

20040113331344 has 40 divisors (see below), whose sum is σ = 41146279828920. Its totient is φ = 9438573132800.

The previous prime is 20040113331331. The next prime is 20040113331361. The reversal of 20040113331344 is 44313331104002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2928753049600 + 17111360281744 = 1711360^2 + 4136588^2 .

It is a super-2 number, since 2×200401133313442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 526687067 + ... + 526725114.

It is an arithmetic number, because the mean of its divisors is an integer number (1028656995723).

Almost surely, 220040113331344 is an apocalyptic number.

It is an amenable number.

20040113331344 is an abundant number, since it is smaller than the sum of its proper divisors (21106166497576).

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

20040113331344 is a wasteful number, since it uses less digits than its factorization.

20040113331344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053412259 (or 1053412253 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 20040113331344 its reverse (44313331104002), we get a palindrome (64353444435346).

The spelling of 20040113331344 in words is "twenty trillion, forty billion, one hundred thirteen million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1189 2378 4756 9512 19024 1053412181 2106824362 4213648724 8427297448 16854594896 30548953249 43189899421 61097906498 86379798842 122195812996 172759597684 244391625992 345519195368 488783251984 691038390736 1252507083209 2505014166418 5010028332836 10020056665672 20040113331344