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1317391395840 = 2103351321731107
BaseRepresentation
bin10011001010111010101…
…001010110110000000000
311122221102021022220022000
4103022322221112300000
5133041004144131330
62445111245344000
7164115121050342
oct23127251266000
94587367286260
101317391395840
1146878010a303
1219339b868000
13972ca208a00
1447a9522d292
1524405b61560
hex132baa56c00

1317391395840 has 2112 divisors, whose sum is σ = 5592762961920. Its totient is φ = 292599889920.

The previous prime is 1317391395833. The next prime is 1317391395869. The reversal of 1317391395840 is 485931937131.

1317391395840 is a `hidden beast` number, since 1 + 3 + 17 + 39 + 13 + 9 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 12312069067 + ... + 12312069173.

Almost surely, 21317391395840 is an apocalyptic number.

1317391395840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317391395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796381480960).

1317391395840 is an abundant number, since it is smaller than the sum of its proper divisors (4275371566080).

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

1317391395840 is a wasteful number, since it uses less digits than its factorization.

1317391395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1317391395840 in words is "one trillion, three hundred seventeen billion, three hundred ninety-one million, three hundred ninety-five thousand, eight hundred forty".