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31131320241440 = 255426494562141
BaseRepresentation
bin1110001010000010100110…
…10010001100110100100000
311002020010101020022122101002
413011001103102030310200
513040023420440211230
6150113310414131132
76362110064646056
oct705012322146440
9132203336278332
1031131320241440
119a1279a759001
1235a95601b0aa8
13144a894c83863
14798a9a36c1d6
1538ebe5241545
hex1c505348cd20

31131320241440 has 48 divisors (see below), whose sum is σ = 73549484681400. Its totient is φ = 12452233390080.

The previous prime is 31131320241431. The next prime is 31131320241457. The reversal of 31131320241440 is 4414202313113.

It can be written as a sum of positive squares in 4 ways, for example, as 24680268869776 + 6451051371664 = 4967924^2 + 2539892^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4542770 + ... + 9104910.

Almost surely, 231131320241440 is an apocalyptic number.

It is an amenable number.

31131320241440 is an abundant number, since it is smaller than the sum of its proper divisors (42418164439960).

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

31131320241440 is a wasteful number, since it uses less digits than its factorization.

31131320241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604805 (or 4604797 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 31131320241440 its reverse (4414202313113), we get a palindrome (35545522554553).

The spelling of 31131320241440 in words is "thirty-one trillion, one hundred thirty-one billion, three hundred twenty million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 42649 85298 170596 213245 341192 426490 682384 852980 1364768 1705960 3411920 4562141 6823840 9124282 18248564 22810705 36497128 45621410 72994256 91242820 145988512 182485640 364971280 729942560 194570751509 389141503018 778283006036 972853757545 1556566012072 1945707515090 3113132024144 3891415030180 6226264048288 7782830060360 15565660120720 31131320241440