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1319990300928 = 28331331538941
BaseRepresentation
bin10011001101010101100…
…011011001000100000000
311200012010101121221212000
4103031111203121010000
5133111320004112203
62450221205104000
7164236406301165
oct23152543310400
94605111557760
101319990300928
11469894127152
121939a60b8000
1397622787480
1447c6046806c
1524508dc74a3
hex133558d9100

1319990300928 has 576 divisors, whose sum is σ = 4421680220160. Its totient is φ = 385590067200.

The previous prime is 1319990300917. The next prime is 1319990300933. The reversal of 1319990300928 is 8290030999131.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×13199903009282 (a number of 25 digits) contains 22 as substring.

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

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, 147628938 + ... + 147637878.

It is an arithmetic number, because the mean of its divisors is an integer number (7676528160).

Almost surely, 21319990300928 is an apocalyptic number.

1319990300928 is a gapful number since it is divisible by the number (18) 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 1319990300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210840110080).

1319990300928 is an abundant number, since it is smaller than the sum of its proper divisors (3101689919232).

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

1319990300928 is a wasteful number, since it uses less digits than its factorization.

1319990300928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9063 (or 9043 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 1319990300928 in words is "one trillion, three hundred nineteen billion, nine hundred ninety million, three hundred thousand, nine hundred twenty-eight".