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1399312104960 = 293571131372063
BaseRepresentation
bin10100010111001101100…
…000000011111000000000
311221202212110121002212210
4110113031200003320000
5140411242344324320
62550500214422120
7203045154433110
oct24271540037000
94852773532783
101399312104960
1149a4992265a0
121a7242961940
13a1c542454a3
144ba27103040
15265eca7e0e0
hex145cd803e00

1399312104960 has 1280 divisors, whose sum is σ = 5915635089408. Its totient is φ = 273648844800.

The previous prime is 1399312104959. The next prime is 1399312104989. The reversal of 1399312104960 is 694012139931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 678288889 + ... + 678290951.

Almost surely, 21399312104960 is an apocalyptic number.

1399312104960 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 1399312104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957817544704).

1399312104960 is an abundant number, since it is smaller than the sum of its proper divisors (4516322984448).

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

1399312104960 is a wasteful number, since it uses less digits than its factorization.

1399312104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The spelling of 1399312104960 in words is "one trillion, three hundred ninety-nine billion, three hundred twelve million, one hundred four thousand, nine hundred sixty".