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44024102240 = 2551395093889
BaseRepresentation
bin101001000000000010…
…100111110101100000
311012122010010010000012
4221000002213311200
51210130132232430
632120245144052
73115646460206
oct510002476540
9135563103005
1044024102240
1117741504678
1286476bb028
1341c7992651
1421b8bd7076
151229e1d695
hexa400a7d60

44024102240 has 96 divisors (see below), whose sum is σ = 104987988000. Its totient is φ = 17444118528.

The previous prime is 44024102179. The next prime is 44024102273. The reversal of 44024102240 is 4220142044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11318216 + ... + 11322104.

It is an arithmetic number, because the mean of its divisors is an integer number (1093624875).

Almost surely, 244024102240 is an apocalyptic number.

44024102240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44024102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52493994000).

44024102240 is an abundant number, since it is smaller than the sum of its proper divisors (60963885760).

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

44024102240 is a wasteful number, since it uses less digits than its factorization.

44024102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 44024102240 its reverse (4220142044), we get a palindrome (48244244284).

The spelling of 44024102240 in words is "forty-four billion, twenty-four million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 509 556 695 1018 1112 1390 2036 2224 2545 2780 3889 4072 4448 5090 5560 7778 8144 10180 11120 15556 16288 19445 20360 22240 31112 38890 40720 62224 70751 77780 81440 124448 141502 155560 283004 311120 353755 540571 566008 622240 707510 1081142 1132016 1415020 1979501 2162284 2264032 2702855 2830040 3959002 4324568 5405710 5660080 7918004 8649136 9897505 10811420 11320160 15836008 17298272 19795010 21622840 31672016 39590020 43245680 63344032 79180040 86491360 158360080 275150639 316720160 550301278 1100602556 1375753195 2201205112 2751506390 4402410224 5503012780 8804820448 11006025560 22012051120 44024102240