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1390207383936 = 2733731736779
BaseRepresentation
bin10100001110101110110…
…100010011100110000000
311220220100221110100122000
4110032232310103212000
5140234121042241221
62542352532544000
7202303430535000
oct24165664234600
94826327410560
101390207383936
11496646909968
121a5521782000
13a1132b8a8b7
144b401c2c000
15262685b8e26
hex143aed13980

1390207383936 has 512 divisors, whose sum is σ = 4813257600000. Its totient is φ = 394847889408.

The previous prime is 1390207383893. The next prime is 1390207383953. The reversal of 1390207383936 is 6393837020931.

1390207383936 is a `hidden beast` number, since 1 + 390 + 20 + 73 + 83 + 93 + 6 = 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 63 ways as a sum of consecutive naturals, for example, 205072195 + ... + 205078973.

It is an arithmetic number, because the mean of its divisors is an integer number (9400893750).

Almost surely, 21390207383936 is an apocalyptic number.

1390207383936 is a gapful number since it is divisible by the number (16) 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 1390207383936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406628800000).

1390207383936 is an abundant number, since it is smaller than the sum of its proper divisors (3423050216064).

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

1390207383936 is an equidigital number, since it uses as much as digits as its factorization.

1390207383936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996 (or 6964 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 1390207383936 in words is "one trillion, three hundred ninety billion, two hundred seven million, three hundred eighty-three thousand, nine hundred thirty-six".