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43144540425 = 32527234911213
BaseRepresentation
bin101000001011100111…
…010111000100001001
311010100211001202000200
4220023213113010021
51201330000243200
631453105122413
73055106354100
oct501347270411
9133324052020
1043144540425
111732aa71888
128441029409
1340b76a397c
14213407b037
1511c7acc800
hexa0b9d7109

43144540425 has 108 divisors (see below), whose sum is σ = 90158877900. Its totient is φ = 19664951040.

The previous prime is 43144540391. The next prime is 43144540427. The reversal of 43144540425 is 52404544134.

43144540425 is a `hidden beast` number, since 4 + 31 + 44 + 540 + 42 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4078227321 + 39066313104 = 63861^2 + 197652^2 .

It is not a de Polignac number, because 43144540425 - 219 = 43144016137 is a prime.

It is a super-2 number, since 2×431445404252 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 43144540425.

It is not an unprimeable number, because it can be changed into a prime (43144540427) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3842119 + ... + 3853331.

It is an arithmetic number, because the mean of its divisors is an integer number (834804425).

Almost surely, 243144540425 is an apocalyptic number.

43144540425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

43144540425 is an abundant number, since it is smaller than the sum of its proper divisors (47014337475).

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

43144540425 is a wasteful number, since it uses less digits than its factorization.

43144540425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11592 (or 11577 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 43144540425 in words is "forty-three billion, one hundred forty-four million, five hundred forty thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 349 441 525 735 1047 1225 1575 1745 2205 2443 3141 3675 5235 7329 8725 11025 11213 12215 15705 17101 21987 26175 33639 36645 51303 56065 61075 78491 78525 85505 100917 109935 153909 168195 183225 235473 256515 280325 392455 427525 504585 549437 549675 706419 769545 840975 1177365 1282575 1648311 1962275 2522925 2747185 3532095 3847725 3913337 4944933 5886825 8241555 11740011 13735925 17660475 19566685 24724665 27393359 35220033 41207775 58700055 82180077 97833425 123623325 136966795 176100165 191753513 246540231 293500275 410900385 575260539 684833975 880500825 958767565 1232701155 1725781617 2054501925 2876302695 4793837825 6163505775 8628908085 14381513475 43144540425