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44284412341872 = 24323738231001797
BaseRepresentation
bin10100001000110110001001…
…01010101010111001110000
312210210112210211121122220100
422010123010222222321300
521301023434024414442
6234103551141512400
712220305010056003
oct1204330452527160
9183715724548810
1044284412341872
1113123a0630274a
124b72748112700
131b930049ab941
14ad153c68353a
1551be14b9084c
hex2846c4aaae70

44284412341872 has 120 divisors (see below), whose sum is σ = 124418230480544. Its totient is φ = 14703993027072.

The previous prime is 44284412341801. The next prime is 44284412341877. The reversal of 44284412341872 is 27814321448244.

It is a happy number.

44284412341872 is a `hidden beast` number, since 4 + 4 + 284 + 4 + 12 + 341 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×442844123418722 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44284412341877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43704078 + ... + 44705874.

Almost surely, 244284412341872 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 44284412341872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62209115240272).

44284412341872 is an abundant number, since it is smaller than the sum of its proper divisors (80133818138672).

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

44284412341872 is a wasteful number, since it uses less digits than its factorization.

44284412341872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003007 (or 1002998 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 54.

The spelling of 44284412341872 in words is "forty-four trillion, two hundred eighty-four billion, four hundred twelve million, three hundred forty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 373 746 823 1119 1492 1646 2238 2469 2984 3292 3357 4476 4938 5968 6584 6714 7407 8952 9876 13168 13428 14814 17904 19752 26856 29628 39504 53712 59256 118512 306979 613958 920937 1001797 1227916 1841874 2003594 2455832 2762811 3005391 3683748 4007188 4911664 5525622 6010782 7367496 8014376 9016173 11051244 12021564 14734992 16028752 18032346 22102488 24043128 36064692 44204976 48086256 72129384 144258768 373670281 747340562 824478931 1121010843 1494681124 1648957862 2242021686 2473436793 2989362248 3297915724 3363032529 4484043372 4946873586 5978724496 6595831448 6726065058 7420310379 8968086744 9893747172 13191662896 13452130116 14840620758 17936173488 19787494344 26904260232 29681241516 39574988688 53808520464 59362483032 118724966064 307530641263 615061282526 922591923789 1230122565052 1845183847578 2460245130104 2767775771367 3690367695156 4920490260208 5535551542734 7380735390312 11071103085468 14761470780624 22142206170936 44284412341872