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402143192640 = 26335717794951
BaseRepresentation
bin1011101101000011001…
…10100010011001000000
31102110000001100211121000
411312201212202121000
523042042124131030
6504424140132000
741024324511030
oct5664146423100
91373001324530
10402143192640
11145603391792
1265b30b37000
132bbca66cc77
141566ca938c0
15a6d9b43860
hex5da19a2640

402143192640 has 896 divisors, whose sum is σ = 1738793779200. Its totient is φ = 85399142400.

The previous prime is 402143192639. The next prime is 402143192741. The reversal of 402143192640 is 46291341204.

402143192640 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 4 + 3 + 1 + 9 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 402143192595 and 402143192604.

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, 81222165 + ... + 81227115.

Almost surely, 2402143192640 is an apocalyptic number.

402143192640 is a gapful number since it is divisible by the number (40) 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 402143192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869396889600).

402143192640 is an abundant number, since it is smaller than the sum of its proper divisors (1336650586560).

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

402143192640 is a wasteful number, since it uses less digits than its factorization.

402143192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 402143192640 in words is "four hundred two billion, one hundred forty-three million, one hundred ninety-two thousand, six hundred forty".