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131507705640 = 23351217900491
BaseRepresentation
bin111101001111001111…
…0000101011100101000
3110120102222221121221110
41322132132011130220
54123311433040030
6140225214310320
712333612024423
oct1723636053450
9416388847843
10131507705640
1150854742753
12215a17b83a0
13c52a36424c
1465178169ba
15364a3d11b0
hex1e9e785728

131507705640 has 64 divisors (see below), whose sum is σ = 394847732160. Its totient is φ = 35039866880.

The previous prime is 131507705639. The next prime is 131507705663. The reversal of 131507705640 is 46507705131.

It is a super-3 number, since 3×1315077056403 (a number of 34 digits) contains 333 as substring.

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, 304206 + ... + 596285.

It is an arithmetic number, because the mean of its divisors is an integer number (6169495815).

Almost surely, 2131507705640 is an apocalyptic number.

131507705640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131507705640 is an abundant number, since it is smaller than the sum of its proper divisors (263340026520).

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

131507705640 is a wasteful number, since it uses less digits than its factorization.

131507705640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901722 (or 901718 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 131507705640 in words is "one hundred thirty-one billion, five hundred seven million, seven hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1217 2434 3651 4868 6085 7302 9736 12170 14604 18255 24340 29208 36510 48680 73020 146040 900491 1800982 2701473 3601964 4502455 5402946 7203928 9004910 10805892 13507365 18009820 21611784 27014730 36019640 54029460 108058920 1095897547 2191795094 3287692641 4383590188 5479487735 6575385282 8767180376 10958975470 13150770564 16438463205 21917950940 26301541128 32876926410 43835901880 65753852820 131507705640