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31025304144405 = 3252938629615449
BaseRepresentation
bin1110000110111101001000…
…01110111000101000010101
311001211222201210022220110200
413003132210032320220111
513031304310330110110
6145552454501211113
76351334650000054
oct703364416705025
9131758653286420
1031025304144405
1199818373a818a
123590ab3700a99
13144089ac605ac
147938c030c39b
1538c08cc8e6c0
hex1c37a43b8a15

31025304144405 has 48 divisors (see below), whose sum is σ = 55633110390000. Its totient is φ = 15975809031168.

The previous prime is 31025304144287. The next prime is 31025304144487. The reversal of 31025304144405 is 50444140352013.

31025304144405 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 530 + 41 + 44 + 40 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5255203210929 + 25770100933476 = 2292423^2 + 5076426^2 .

It is not a de Polignac number, because 31025304144405 - 221 = 31025302047253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31025304144405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50103121 + ... + 50718569.

It is an arithmetic number, because the mean of its divisors is an integer number (1159023133125).

Almost surely, 231025304144405 is an apocalyptic number.

It is an amenable number.

31025304144405 is a deficient number, since it is larger than the sum of its proper divisors (24607806245595).

31025304144405 is a wasteful number, since it uses less digits than its factorization.

31025304144405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654118 (or 654115 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 31025304144405 its reverse (50444140352013), we get a palindrome (81469444496418).

The spelling of 31025304144405 in words is "thirty-one trillion, twenty-five billion, three hundred four million, one hundred forty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 38629 115887 193145 347661 579435 615449 1120241 1738305 1846347 3077245 3360723 5539041 5601205 9231735 10082169 16803615 17848021 27695205 50410845 53544063 89240105 160632189 267720315 803160945 23774179421 71322538263 118870897105 213967614789 356612691315 689451203209 1069838073945 2068353609627 3447256016045 6205060828881 10341768048135 31025304144405