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1399590420480 = 216395731
BaseRepresentation
bin10100010111011110000…
…101110000000000000000
311221210120212022000000000
4110113132011300000000
5140412330121423410
62550544000000000
7203055104166450
oct24273605600000
94853525260000
101399590420480
1149a62133a11a
121a7300000000
13a1c99ac0225
144ba5206dd60
1526617207dc0
hex145de170000

1399590420480 has 1360 divisors, whose sum is σ = 5943920953344. Its totient is φ = 309586821120.

The previous prime is 1399590420413. The next prime is 1399590420491. The reversal of 1399590420480 is 840240959931.

1399590420480 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 590 + 4 + 2 + 0 + 48 + 0 = 666.

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

It is a congruent number.

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, 45148078065 + ... + 45148078095.

Almost surely, 21399590420480 is an apocalyptic number.

1399590420480 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 1399590420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971960476672).

1399590420480 is an abundant number, since it is smaller than the sum of its proper divisors (4544330532864).

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

1399590420480 is an frugal number, since it uses more digits than its factorization.

1399590420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1399590420480 in words is "one trillion, three hundred ninety-nine billion, five hundred ninety million, four hundred twenty thousand, four hundred eighty".