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44150056040 = 23517219201011
BaseRepresentation
bin101001000111100011…
…000110010001101000
311012221220010020010202
4221013203012101220
51210404403243130
632140544531332
73122036166356
oct510743062150
9135856106122
1044150056040
11177a6612622
128681920b48
134217ac251c
1421cb8227d6
151235eed145
hexa478c6468

44150056040 has 96 divisors (see below), whose sum is σ = 111079231200. Its totient is φ = 15746319360.

The previous prime is 44150056039. The next prime is 44150056061. The reversal of 44150056040 is 4065005144.

It is a junction number, because it is equal to n+sod(n) for n = 44150055994 and 44150056012.

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, 119135 + ... + 320145.

It is an arithmetic number, because the mean of its divisors is an integer number (1157075325).

Almost surely, 244150056040 is an apocalyptic number.

44150056040 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 44150056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55539615600).

44150056040 is an abundant number, since it is smaller than the sum of its proper divisors (66929175160).

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

44150056040 is a wasteful number, since it uses less digits than its factorization.

44150056040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201075 (or 201054 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 44150056040 in words is "forty-four billion, one hundred fifty million, fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 289 323 340 380 578 646 680 760 1156 1292 1445 1615 2312 2584 2890 3230 5491 5780 6460 10982 11560 12920 21964 27455 43928 54910 109820 201011 219640 402022 804044 1005055 1608088 2010110 3417187 3819209 4020220 6834374 7638418 8040440 13668748 15276836 17085935 19096045 27337496 30553672 34171870 38192090 58092179 64926553 68343740 76384180 116184358 129853106 136687480 152768360 232368716 259706212 290460895 324632765 464737432 519412424 580921790 649265530 1103751401 1161843580 1298531060 2207502802 2323687160 2597062120 4415005604 5518757005 8830011208 11037514010 22075028020 44150056040