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131044404005440 = 2652281179532557
BaseRepresentation
bin11101110010111100100111…
…001001101000101001000000
3122011222201111211101220110221
4131302330213021220221000
5114134012414411133230
61142412545040232424
736413434331241352
oct3562744711505100
9564881454356427
10131044404005440
113883368a816682
121284534990b714
135817585139453
142450823a510d2
151023b7427227a
hex772f27268a40

131044404005440 has 56 divisors (see below), whose sum is σ = 312186292585272. Its totient is φ = 52394781143040.

The previous prime is 131044404005387. The next prime is 131044404005521. The reversal of 131044404005440 is 44500404440131.

It can be written as a sum of positive squares in 4 ways, for example, as 10734744537664 + 120309659467776 = 3276392^2 + 10968576^2 .

It is a super-2 number, since 2×1310444040054402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131044404005396 and 131044404005405.

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, 89036359 + ... + 90496198.

It is an arithmetic number, because the mean of its divisors is an integer number (5574755224737).

Almost surely, 2131044404005440 is an apocalyptic number.

131044404005440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131044404005440 is an abundant number, since it is smaller than the sum of its proper divisors (181141888579832).

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

131044404005440 is a wasteful number, since it uses less digits than its factorization.

131044404005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179534855 (or 179534845 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 131044404005440 its reverse (44500404440131), we get a palindrome (175544808445571).

The spelling of 131044404005440 in words is "one hundred thirty-one trillion, forty-four billion, four hundred four million, five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2281 4562 9124 11405 18248 22810 36496 45620 72992 91240 145984 182480 364960 729920 179532557 359065114 718130228 897662785 1436260456 1795325570 2872520912 3590651140 5745041824 7181302280 11490083648 14362604560 28725209120 57450418240 409513762517 819027525034 1638055050068 2047568812585 3276110100136 4095137625170 6552220200272 8190275250340 13104440400544 16380550500680 26208880801088 32761101001360 65522202002720 131044404005440