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402112676306440 = 23511191273671031981
BaseRepresentation
bin101101101101110000010011…
…1001110110001111000001000
31221201202121002210110101201201
41123123200213032301320020
5410201203230113301230
63543120002512153544
7150461452656142501
oct13333404716617010
91851677083411651
10402112676306440
111071420347a01a0
12391241698388b4
131434b0a78bb0a8
147142500903ba8
153174d181585ca
hex16db8273b1e08

402112676306440 has 256 divisors, whose sum is σ = 1049986370764800. Its totient is φ = 137061474278400.

The previous prime is 402112676306423. The next prime is 402112676306461. The reversal of 402112676306440 is 44603676211204.

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, 389135250 + ... + 390167230.

It is an arithmetic number, because the mean of its divisors is an integer number (4101509260800).

Almost surely, 2402112676306440 is an apocalyptic number.

402112676306440 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 402112676306440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524993185382400).

402112676306440 is an abundant number, since it is smaller than the sum of its proper divisors (647873694458360).

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

402112676306440 is a wasteful number, since it uses less digits than its factorization.

402112676306440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032516 (or 1032512 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 402112676306440 in words is "four hundred two trillion, one hundred twelve billion, six hundred seventy-six million, three hundred six thousand, four hundred forty".