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2044357342272 = 2632729173101063
BaseRepresentation
bin11101101111111101001…
…100010111010001000000
321020102211210000022100200
4131233331030113101000
5231443320434423042
64203055332445200
7300462036456450
oct35577514272100
97212753008320
102044357342272
11719009472643
12290263179800
1311aa2229246b
1470d39a2dd60
15382a22c3c4c
hex1dbfd317440

2044357342272 has 336 divisors, whose sum is σ = 6967934288640. Its totient is φ = 560695209984.

The previous prime is 2044357342141. The next prime is 2044357342303. The reversal of 2044357342272 is 2722437534402.

2044357342272 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 3 + 573 + 4 + 2 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 20178013 + ... + 20279075.

Almost surely, 22044357342272 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 2044357342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483967144320).

2044357342272 is an abundant number, since it is smaller than the sum of its proper divisors (4923576946368).

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

2044357342272 is a wasteful number, since it uses less digits than its factorization.

2044357342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101290 (or 101277 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 45.

The spelling of 2044357342272 in words is "two trillion, forty-four billion, three hundred fifty-seven million, three hundred forty-two thousand, two hundred seventy-two".