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1380900407640 = 2335133146361673
BaseRepresentation
bin10100000110000100000…
…101000000100101011000
311220000100022201222022020
4110012010011000211120
5140111041001021030
62534213224054440
7201523666540215
oct24060405004530
94800308658266
101380900407640
11492700309916
121a3764904420
13a02ab939330
144ab9bb48b0c
1525dc14a1510
hex14184140958

1380900407640 has 256 divisors, whose sum is σ = 4615307182080. Its totient is φ = 328233185280.

The previous prime is 1380900407629. The next prime is 1380900407701. The reversal of 1380900407640 is 467040090831.

It is a junction number, because it is equal to n+sod(n) for n = 1380900407592 and 1380900407601.

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, 22359844 + ... + 22421516.

It is an arithmetic number, because the mean of its divisors is an integer number (18028543680).

Almost surely, 21380900407640 is an apocalyptic number.

1380900407640 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 1380900407640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307653591040).

1380900407640 is an abundant number, since it is smaller than the sum of its proper divisors (3234406774440).

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

1380900407640 is a wasteful number, since it uses less digits than its factorization.

1380900407640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62194 (or 62190 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1380900407640 in words is "one trillion, three hundred eighty billion, nine hundred million, four hundred seven thousand, six hundred forty".