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1002383714304 = 2113472127971
BaseRepresentation
bin11101001011000101011…
…10011010100000000000
310112211022211210122210000
432211202232122200000
5112410340212324204
62044253321440000
7132264000663300
oct16454256324000
93484284718700
101002383714304
11357121524815
12142328340000
13736a80a188b
1436730c67600
151b11ab72039
hexe962b9a800

1002383714304 has 720 divisors, whose sum is σ = 3513907837440. Its totient is φ = 283847639040.

The previous prime is 1002383714303. The next prime is 1002383714333. The reversal of 1002383714304 is 4034173832001.

1002383714304 is a `hidden beast` number, since 10 + 0 + 238 + 371 + 43 + 0 + 4 = 666.

It is a super-2 number, since 2×10023837143042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002383714303) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1032320539 + ... + 1032321509.

It is an arithmetic number, because the mean of its divisors is an integer number (4880427552).

Almost surely, 21002383714304 is an apocalyptic number.

1002383714304 is a gapful number since it is divisible by the number (14) 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 1002383714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756953918720).

1002383714304 is an abundant number, since it is smaller than the sum of its proper divisors (2511524123136).

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

1002383714304 is an equidigital number, since it uses as much as digits as its factorization.

1002383714304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1002383714304 in words is "one trillion, two billion, three hundred eighty-three million, seven hundred fourteen thousand, three hundred four".