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1390293938880 = 2632571123272581
BaseRepresentation
bin10100001110110011111…
…110011111001011000000
311220220120222022210200200
4110032303332133023000
5140234310222021010
62542405304045200
7202305531331530
oct24166376371300
94826528283620
101390293938880
11496690757980
121a5546763800
13a1147aa4742
144b40d51d4c0
1526270eb4cc0
hex143b3f9f2c0

1390293938880 has 672 divisors, whose sum is σ = 6221254560768. Its totient is φ = 276330700800.

The previous prime is 1390293938843. The next prime is 1390293938909. The reversal of 1390293938880 is 888393920931.

1390293938880 is a `hidden beast` number, since 1 + 3 + 90 + 2 + 9 + 393 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4964190 + ... + 5236770.

Almost surely, 21390293938880 is an apocalyptic number.

1390293938880 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 1390293938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110627280384).

1390293938880 is an abundant number, since it is smaller than the sum of its proper divisors (4830960621888).

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

1390293938880 is a wasteful number, since it uses less digits than its factorization.

1390293938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272645 (or 272632 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 1390293938880 in words is "one trillion, three hundred ninety billion, two hundred ninety-three million, nine hundred thirty-eight thousand, eight hundred eighty".