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1379203453440 = 29325163443829
BaseRepresentation
bin10100000100011110111…
…011101001001000000000
311212211222001121202202200
4110010132323221020000
5140044102041002230
62533333004313200
7201433642631661
oct24043673511000
94784861552680
101379203453440
11491a0a43702a
121a3370542800
13a009b1b8217
144aa7a617368
1525d22500160
hex1411eee9200

1379203453440 has 480 divisors, whose sum is σ = 4822532320320. Its totient is φ = 364266160128.

The previous prime is 1379203453423. The next prime is 1379203453451. The reversal of 1379203453440 is 443543029731.

1379203453440 is a `hidden beast` number, since 1 + 3 + 79 + 2 + 0 + 3 + 4 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1663694946 + ... + 1663695774.

It is an arithmetic number, because the mean of its divisors is an integer number (10046942334).

Almost surely, 21379203453440 is an apocalyptic number.

1379203453440 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 1379203453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411266160160).

1379203453440 is an abundant number, since it is smaller than the sum of its proper divisors (3443328866880).

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

1379203453440 is a wasteful number, since it uses less digits than its factorization.

1379203453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 1379203453440 in words is "one trillion, three hundred seventy-nine billion, two hundred three million, four hundred fifty-three thousand, four hundred forty".