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1399337103360 = 212357311031019
BaseRepresentation
bin10100010111001110111…
…111011011000000000000
311221202221012122011020110
4110113032333123000000
5140411320244301420
62550502510311320
7203045610060540
oct24271677330000
94852835564213
101399337103360
1149a501350229
121a724b1b8540
13a1c59488a41
144ba2a56d320
15265eed6aee0
hex145cefdb000

1399337103360 has 832 divisors, whose sum is σ = 5338529464320. Its totient is φ = 306224824320.

The previous prime is 1399337103341. The next prime is 1399337103361. The reversal of 1399337103360 is 633017339931.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1399337103361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1373244931 + ... + 1373245949.

It is an arithmetic number, because the mean of its divisors is an integer number (6416501760).

Almost surely, 21399337103360 is an apocalyptic number.

1399337103360 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 1399337103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669264732160).

1399337103360 is an abundant number, since it is smaller than the sum of its proper divisors (3939192360960).

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

1399337103360 is a wasteful number, since it uses less digits than its factorization.

1399337103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 48.

The spelling of 1399337103360 in words is "one trillion, three hundred ninety-nine billion, three hundred thirty-seven million, one hundred three thousand, three hundred sixty".