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131024040414040 = 23531701150734021
BaseRepresentation
bin11101110010101001101001…
…011000101100101101011000
3122011220202221122201021121001
4131302221221120230231120
5114133144213321222130
61142355340241554344
736412113602462254
oct3562515130545530
9564822848637531
10131024040414040
1138825a90029aa4
12128414060459b4
13581568b32a197
14244d851361264
1510233816356ca
hex772a6962cb58

131024040414040 has 64 divisors (see below), whose sum is σ = 304748016318720. Its totient is φ = 50646630720000.

The previous prime is 131024040413999. The next prime is 131024040414077. The reversal of 131024040414040 is 40414040420131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74497771 + ... + 76236250.

It is an arithmetic number, because the mean of its divisors is an integer number (4761687754980).

Almost surely, 2131024040414040 is an apocalyptic number.

131024040414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131024040414040 is an abundant number, since it is smaller than the sum of its proper divisors (173723975904680).

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

131024040414040 is a wasteful number, since it uses less digits than its factorization.

131024040414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150734764 (or 150734760 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 131024040414040 its reverse (40414040420131), we get a palindrome (171438080834171).

The spelling of 131024040414040 in words is "one hundred thirty-one trillion, twenty-four billion, forty million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 701 1240 1402 2804 3505 5608 7010 14020 21731 28040 43462 86924 108655 173848 217310 434620 869240 150734021 301468042 602936084 753670105 1205872168 1507340210 3014680420 4672754651 6029360840 9345509302 18691018604 23363773255 37382037208 46727546510 93455093020 105664548721 186910186040 211329097442 422658194884 528322743605 845316389768 1056645487210 2113290974420 3275601010351 4226581948840 6551202020702 13102404041404 16378005051755 26204808082808 32756010103510 65512020207020 131024040414040