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131403031431440 = 2451996382279111
BaseRepresentation
bin11101111000001010100111…
…000000101100100100010000
3122020021000012012011202102012
4131320022213000230210100
5114210401402021301230
61143245415210442052
736451361421124166
oct3570124700544420
9566230165152365
10131403031431440
113896179263385a
12128a2955433328
135842339229c72
142463d25233236
15102d16390a395
hex7782a702c910

131403031431440 has 40 divisors (see below), whose sum is σ = 305527355706048. Its totient is φ = 52558579002240.

The previous prime is 131403031431431. The next prime is 131403031431449. The reversal of 131403031431440 is 44134130304131.

It is an interprime number because it is at equal distance from previous prime (131403031431431) and next prime (131403031431449).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131403031431397 and 131403031431406.

It is not an unprimeable number, because it can be changed into a prime (131403031431449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39542516 + ... + 42736595.

Almost surely, 2131403031431440 is an apocalyptic number.

131403031431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403031431440 is an abundant number, since it is smaller than the sum of its proper divisors (174124324274608).

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

131403031431440 is a wasteful number, since it uses less digits than its factorization.

131403031431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82299087 (or 82299081 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131403031431440 its reverse (44134130304131), we get a palindrome (175537161735571).

The spelling of 131403031431440 in words is "one hundred thirty-one trillion, four hundred three billion, thirty-one million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 19963 39926 79852 99815 159704 199630 319408 399260 798520 1597040 82279111 164558222 329116444 411395555 658232888 822791110 1316465776 1645582220 3291164440 6582328880 1642537892893 3285075785786 6570151571572 8212689464465 13140303143144 16425378928930 26280606286288 32850757857860 65701515715720 131403031431440