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1399713359040 = 26365193161167
BaseRepresentation
bin10100010111100101011…
…010101110010011000000
311221210220102121221000000
4110113211122232103000
5140413103104442130
62551004111000000
7203061126150063
oct24274532562300
94853812557000
101399713359040
1149a684778737
121a7335209000
13a1cb9405839
144ba645128da
1526622dde260
hex145e56ae4c0

1399713359040 has 1568 divisors, whose sum is σ = 5552084643840. Its totient is φ = 334579507200.

The previous prime is 1399713359039. The next prime is 1399713359117. The reversal of 1399713359040 is 409533179931.

It is a happy number.

1399713359040 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 7 + 1 + 3 + 3 + 590 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 8381517037 + ... + 8381517203.

Almost surely, 21399713359040 is an apocalyptic number.

1399713359040 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 1399713359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776042321920).

1399713359040 is an abundant number, since it is smaller than the sum of its proper divisors (4152371284800).

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

1399713359040 is a wasteful number, since it uses less digits than its factorization.

1399713359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 1399713359040 in words is "one trillion, three hundred ninety-nine billion, seven hundred thirteen million, three hundred fifty-nine thousand, forty".