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140980947956352 = 2733736497159673
BaseRepresentation
bin100000000011100010101111…
…010100101011001010000000
3200111011122110122212212111000
4200003202233110223022000
5121434312440134100402
61215501430422052000
741460352213243260
oct4003425724531200
9614148418785430
10140980947956352
1140a14758834819
121398b07627a000
1360885a581911a
1426b572b2cd7a0
151147388337c1c
hex8038af52b280

140980947956352 has 256 divisors, whose sum is σ = 475546982803200. Its totient is φ = 40278914924544.

The previous prime is 140980947956339. The next prime is 140980947956371. The reversal of 140980947956352 is 253659749089041.

140980947956352 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 8 + 0 + 9 + 4 + 7 + 9 + 563 + 52 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882855588 + ... + 883015260.

It is an arithmetic number, because the mean of its divisors is an integer number (1857605401575).

It is a 1-persistent number, because it is pandigital, but 2⋅140980947956352 = 281961895912704 is not.

Almost surely, 2140980947956352 is an apocalyptic number.

140980947956352 is a gapful number since it is divisible by the number (12) 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 140980947956352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237773491401600).

140980947956352 is an abundant number, since it is smaller than the sum of its proper divisors (334566034846848).

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

140980947956352 is a wasteful number, since it uses less digits than its factorization.

140980947956352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196200 (or 196182 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 140980947956352 in words is "one hundred forty trillion, nine hundred eighty billion, nine hundred forty-seven million, nine hundred fifty-six thousand, three hundred fifty-two".