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3444518245104 = 2432146381163411
BaseRepresentation
bin110010000111111101010…
…010010101001011110000
3110012021220101202211000200
4302013331102111023300
5422413333132320404
611154220112115200
7503600241666126
oct62077522251360
913167811684020
103444518245104
1111088a2829582
124776a2235b00
131bca803149c1
14bca03761916
155e8ee618839
hex321fd4952f0

3444518245104 has 60 divisors (see below), whose sum is σ = 9639991879752. Its totient is φ = 1148157878400.

The previous prime is 3444518245057. The next prime is 3444518245111. The reversal of 3444518245104 is 4015428154443.

3444518245104 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 51 + 82 + 4 + 510 + 4 = 666.

3444518245104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3444518245104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20997159 + ... + 21160569.

Almost surely, 23444518245104 is an apocalyptic number.

It is an amenable number.

3444518245104 is an abundant number, since it is smaller than the sum of its proper divisors (6195473634648).

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

3444518245104 is a wasteful number, since it uses less digits than its factorization.

3444518245104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309806 (or 309797 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 3444518245104 in words is "three trillion, four hundred forty-four billion, five hundred eighteen million, two hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 146381 163411 292762 326822 439143 490233 585524 653644 878286 980466 1171048 1307288 1317429 1470699 1756572 1960932 2342096 2614576 2634858 2941398 3513144 3921864 5269716 5882796 7026288 7843728 10539432 11765592 21078864 23531184 23920265591 47840531182 71760796773 95681062364 143521593546 191362124728 215282390319 287043187092 382724249456 430564780638 574086374184 861129561276 1148172748368 1722259122552 3444518245104