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1398020052744 = 233471979720353
BaseRepresentation
bin10100010110000000011…
…111010001011100001000
311221122112102101001110000
4110112000133101130020
5140401121113141434
62550124101323000
7203001145244040
oct24260037213410
94848472331400
101398020052744
11499995967647
121a6b42106460
13a1aa9660c53
144b943690720
152657440db99
hex145807d1708

1398020052744 has 320 divisors, whose sum is σ = 4716819676800. Its totient is φ = 377918078976.

The previous prime is 1398020052733. The next prime is 1398020052761. The reversal of 1398020052744 is 4472500208931.

1398020052744 is a `hidden beast` number, since 1 + 3 + 9 + 80 + 2 + 0 + 0 + 527 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1398020052744.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68678472 + ... + 68698824.

It is an arithmetic number, because the mean of its divisors is an integer number (14740061490).

Almost surely, 21398020052744 is an apocalyptic number.

1398020052744 is a gapful number since it is divisible by the number (14) 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 1398020052744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358409838400).

1398020052744 is an abundant number, since it is smaller than the sum of its proper divisors (3318799624056).

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

1398020052744 is a wasteful number, since it uses less digits than its factorization.

1398020052744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21194 (or 21181 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1398020052744 in words is "one trillion, three hundred ninety-eight billion, twenty million, fifty-two thousand, seven hundred forty-four".