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1423720456704 = 293271319178697
BaseRepresentation
bin10100101101111100010…
…110100010001000000000
312001002212112012211212100
4110231330112202020000
5141311234414103304
63010014222230400
7204601056131340
oct24557426421000
95032775184770
101423720456704
114a9884099517
121abb15125400
13a4344018680
144cca0a78d20
152707a833439
hex14b7c5a2200

1423720456704 has 480 divisors, whose sum is σ = 5323370532480. Its totient is φ = 355722264576.

The previous prime is 1423720456693. The next prime is 1423720456747. The reversal of 1423720456704 is 4076540273241.

1423720456704 is a `hidden beast` number, since 14 + 2 + 3 + 72 + 0 + 4 + 567 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1423720456704.

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, 7877884 + ... + 8056580.

It is an arithmetic number, because the mean of its divisors is an integer number (11090355276).

Almost surely, 21423720456704 is an apocalyptic number.

1423720456704 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 1423720456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661685266240).

1423720456704 is an abundant number, since it is smaller than the sum of its proper divisors (3899650075776).

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

1423720456704 is a wasteful number, since it uses less digits than its factorization.

1423720456704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178760 (or 178741 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 1423720456704 in words is "one trillion, four hundred twenty-three billion, seven hundred twenty million, four hundred fifty-six thousand, seven hundred four".