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131333712440 = 23571273693299
BaseRepresentation
bin111101001010000011…
…0010110101000111000
3110112222212112212010212
41322110012112220320
54122432412244230
6140200041130252
712326400064550
oct1722406265070
9415885485125
10131333712440
1150775503017
1221553489988
13c5002b44a8
1464dc684160
153639eb2895
hex1e94196a38

131333712440 has 64 divisors (see below), whose sum is σ = 340374528000. Its totient is φ = 44674132608.

The previous prime is 131333712437. The next prime is 131333712479. The reversal of 131333712440 is 44217333131.

It is a super-2 number, since 2×1313337124402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131333712397 and 131333712406.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1811090 + ... + 1882209.

It is an arithmetic number, because the mean of its divisors is an integer number (5318352000).

Almost surely, 2131333712440 is an apocalyptic number.

131333712440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131333712440 is an abundant number, since it is smaller than the sum of its proper divisors (209040815560).

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

131333712440 is a wasteful number, since it uses less digits than its factorization.

131333712440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693444 (or 3693440 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 131333712440 in words is "one hundred thirty-one billion, three hundred thirty-three million, seven hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1778 2540 3556 4445 5080 7112 8890 17780 35560 3693299 7386598 14773196 18466495 25853093 29546392 36932990 51706186 73865980 103412372 129265465 147731960 206824744 258530930 469048973 517061860 938097946 1034123720 1876195892 2345244865 3283342811 3752391784 4690489730 6566685622 9380979460 13133371244 16416714055 18761958920 26266742488 32833428110 65666856220 131333712440