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6340402344192 = 283721747210869
BaseRepresentation
bin101110001000011110101…
…1011011111000100000000
3211110010200112121022121120
41130100331123133010000
51312340121000003232
621252423550352240
71223036036461500
oct134207533370400
924403615538546
106340402344192
112024a49913954
1286498babb680
1336cb886c3537
1417cc3cb13a00
15aeddd60692c
hex5c43d6df100

6340402344192 has 432 divisors, whose sum is σ = 21226788253440. Its totient is φ = 1668698013696.

The previous prime is 6340402344169. The next prime is 6340402344223. The reversal of 6340402344192 is 2914432040436.

It is a happy number.

It is a super-2 number, since 2×63404023441922 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29962534 + ... + 30173402.

It is an arithmetic number, because the mean of its divisors is an integer number (49136083920).

Almost surely, 26340402344192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6340402344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10613394126720).

6340402344192 is an abundant number, since it is smaller than the sum of its proper divisors (14886385909248).

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

6340402344192 is a wasteful number, since it uses less digits than its factorization.

6340402344192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210966 (or 210945 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 6340402344192 in words is "six trillion, three hundred forty billion, four hundred two million, three hundred forty-four thousand, one hundred ninety-two".