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445890054144 = 211372573251
BaseRepresentation
bin1100111110100010001…
…11100100100000000000
31120121220211210122210210
412133101013210200000
524301140323213034
6540501123154120
744133366632223
oct6372107444000
91517824718723
10445890054144
11162112347287
12724bb815940
133307ca72b32
141781cb1d5ba
15b8ea54b8e9
hex67d11e4800

445890054144 has 48 divisors (see below), whose sum is σ = 1188749867760. Its totient is φ = 148630016000.

The previous prime is 445890054089. The next prime is 445890054187. The reversal of 445890054144 is 441450098544.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 445890054093 and 445890054102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36280482 + ... + 36292769.

It is an arithmetic number, because the mean of its divisors is an integer number (24765622245).

Almost surely, 2445890054144 is an apocalyptic number.

It is an amenable number.

445890054144 is an abundant number, since it is smaller than the sum of its proper divisors (742859813616).

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

445890054144 is an equidigital number, since it uses as much as digits as its factorization.

445890054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72573276 (or 72573256 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 445890054144 in words is "four hundred forty-five billion, eight hundred ninety million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 72573251 145146502 217719753 290293004 435439506 580586008 870879012 1161172016 1741758024 2322344032 3483516048 4644688064 6967032096 9289376128 13934064192 18578752256 27868128384 37157504512 55736256768 74315009024 111472513536 148630018048 222945027072 445890054144