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441145563712 = 2672140671417
BaseRepresentation
bin1100110101101100101…
…00110001101001000000
31120011200012012120110221
412122312110301221000
524211431231014322
6534354240232424
743604666264500
oct6326624615100
91504605176427
10441145563712
111600a8196407
12715b690b714
13327a4b35649
14174cc96da00
15b71dc669c7
hex66b6531a40

441145563712 has 42 divisors (see below), whose sum is σ = 1018320394902. Its totient is φ = 189062383104.

The previous prime is 441145563709. The next prime is 441145563779. The reversal of 441145563712 is 217365541144.

It can be written as a sum of positive squares in only one way, i.e., 257186922496 + 183958641216 = 507136^2 + 428904^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70332573 + ... + 70338844.

Almost surely, 2441145563712 is an apocalyptic number.

It is an amenable number.

441145563712 is an abundant number, since it is smaller than the sum of its proper divisors (577174831190).

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

441145563712 is a wasteful number, since it uses less digits than its factorization.

441145563712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140671443 (or 140671426 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The spelling of 441145563712 in words is "four hundred forty-one billion, one hundred forty-five million, five hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 140671417 281342834 562685668 984699919 1125371336 1969399838 2250742672 3938799676 4501485344 6892899433 7877599352 9002970688 13785798866 15755198704 27571597732 31510397408 55143195464 63020794816 110286390928 220572781856 441145563712