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44493424344 = 233219181179693
BaseRepresentation
bin101001011100000000…
…111100011011011000
311020211211020010220100
4221130000330123120
51212110304034334
632235012255400
73133405603215
oct513400743330
9136754203810
1044493424344
1117962418286
128758911560
134270c96035
142221284b0c
151256226c99
hexa5c03c6d8

44493424344 has 96 divisors (see below), whose sum is σ = 127546801200. Its totient is φ = 13972849920.

The previous prime is 44493424291. The next prime is 44493424361. The reversal of 44493424344 is 44342439444.

44493424344 is a `hidden beast` number, since 44 + 493 + 42 + 43 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44493424344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157762 + ... + 337454.

Almost surely, 244493424344 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 44493424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63773400600).

44493424344 is an abundant number, since it is smaller than the sum of its proper divisors (83053376856).

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

44493424344 is a wasteful number, since it uses less digits than its factorization.

44493424344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179905 (or 179898 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 45.

The spelling of 44493424344 in words is "forty-four billion, four hundred ninety-three million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 181 228 342 362 456 543 684 724 1086 1368 1448 1629 2172 3258 3439 4344 6516 6878 10317 13032 13756 20634 27512 30951 41268 61902 82536 123804 179693 247608 359386 539079 718772 1078158 1437544 1617237 2156316 3234474 3414167 4312632 6468948 6828334 10242501 12937896 13656668 20485002 27313336 30727503 32524433 40970004 61455006 65048866 81940008 97573299 122910012 130097732 195146598 245820024 260195464 292719897 390293196 585439794 617964227 780586392 1170879588 1235928454 1853892681 2341759176 2471856908 3707785362 4943713816 5561678043 7415570724 11123356086 14831141448 22246712172 44493424344