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131141340200440 = 2354877573888961
BaseRepresentation
bin11101110100010110111000…
…111111110111110111111000
3122012022222201110221211101101
4131310112320333313313320
5114142104431042403230
61142525255555301144
736423435443301643
oct3564267077676770
9565288643854341
10131141340200440
1138870803771729
12128600a15aa7b4
135823762c8480b
1424553bbc1aa5a
151026449512aca
hex7745b8ff7df8

131141340200440 has 64 divisors (see below), whose sum is σ = 295713280416960. Its totient is φ = 52341851013120.

The previous prime is 131141340200369. The next prime is 131141340200441. The reversal of 131141340200440 is 44002043141131.

It is a super-2 number, since 2×1311413402004402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131141340200399 and 131141340200408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141340200441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147077560 + ... + 147966520.

It is an arithmetic number, because the mean of its divisors is an integer number (4620520006515).

Almost surely, 2131141340200440 is an apocalyptic number.

131141340200440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141340200440 is an abundant number, since it is smaller than the sum of its proper divisors (164571940216520).

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

131141340200440 is a wasteful number, since it uses less digits than its factorization.

131141340200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897032 (or 897028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131141340200440 its reverse (44002043141131), we get a palindrome (175143383341571).

The spelling of 131141340200440 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 487 974 1948 2435 3896 4870 7573 9740 15146 19480 30292 37865 60584 75730 151460 302920 888961 1777922 3555844 3688051 4444805 7111688 7376102 8889610 14752204 17779220 18440255 29504408 35558440 36880510 73761020 147522040 432924007 865848014 1731696028 2164620035 3463392056 4329240070 6732101653 8658480140 13464203306 17316960280 26928406612 33660508265 53856813224 67321016530 134642033060 269284066120 3278533505011 6557067010022 13114134020044 16392667525055 26228268040088 32785335050110 65570670100220 131141340200440