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444265560112 = 241110180930893
BaseRepresentation
bin1100111011100000100…
…10100111100000110000
31120110201122000210221011
412131300102213200300
524234323440410422
6540032012440304
744045212645063
oct6356022474060
91513648023834
10444265560112
11161459365930
1272127779094
1332b8134226a
14177070908da
15b852b10077
hex67704a7830

444265560112 has 80 divisors (see below), whose sum is σ = 949515968160. Its totient is φ = 199685888000.

The previous prime is 444265560049. The next prime is 444265560139. The reversal of 444265560112 is 211065562444.

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 15 ways as a sum of consecutive naturals, for example, 14365338 + ... + 14396230.

It is an arithmetic number, because the mean of its divisors is an integer number (11868949602).

Almost surely, 2444265560112 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 444265560112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474757984080).

444265560112 is an abundant number, since it is smaller than the sum of its proper divisors (505250408048).

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

444265560112 is a wasteful number, since it uses less digits than its factorization.

444265560112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31822 (or 31816 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 444265560112 in words is "four hundred forty-four billion, two hundred sixty-five million, five hundred sixty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 809 1111 1616 1618 2222 3236 4444 6472 8888 8899 12944 17776 17798 30893 35596 61786 71192 81709 123572 142384 163418 247144 326836 339823 494288 653672 679646 898799 1307344 1359292 1797598 2718584 3120193 3595196 5437168 6240386 7190392 12480772 14380784 24961544 24992437 34322123 49923088 49984874 68644246 99969748 137288492 199939496 274576984 274916807 399878992 549153968 549833614 1099667228 2199334456 2524236137 4398668912 5048472274 10096944548 20193889096 27766597507 40387778192 55533195014 111066390028 222132780056 444265560112