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1398988674720 = 25365721319991
BaseRepresentation
bin10100010110111010001…
…110010001011010100000
311221202000221000011000000
4110112322032101122200
5140410112100042340
62550404142300000
7203034146346600
oct24267216213240
94852027004000
101398988674720
1149a3426a967a
121a7172587600
13a1c02232b50
144b9d6190c00
15265ce492d30
hex145ba3916a0

1398988674720 has 2016 divisors, whose sum is σ = 6541186337280. Its totient is φ = 279353733120.

The previous prime is 1398988674703. The next prime is 1398988674781. The reversal of 1398988674720 is 274768898931.

1398988674720 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 98 + 8 + 67 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1411693425 + ... + 1411694415.

It is an arithmetic number, because the mean of its divisors is an integer number (3244636080).

Almost surely, 21398988674720 is an apocalyptic number.

1398988674720 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 1398988674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270593168640).

1398988674720 is an abundant number, since it is smaller than the sum of its proper divisors (5142197662560).

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

1398988674720 is a wasteful number, since it uses less digits than its factorization.

1398988674720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 1398988674720 in words is "one trillion, three hundred ninety-eight billion, nine hundred eighty-eight million, six hundred seventy-four thousand, seven hundred twenty".