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444032050053240 = 2332511112129305569
BaseRepresentation
bin110010011110110000100010…
…0100111001100000001111000
32011020012001100000201020010100
41210331201010213030001320
5431200010114303200430
64212213301401115400
7162346154064661605
oct14475410447140170
92136161300636110
10444032050053240
11119533a313aa740
1241974477188b60
131609c072926a8c
147b913a18756ac
15365045c8cc960
hex193d8449cc078

444032050053240 has 96 divisors (see below), whose sum is σ = 1574295450202800. Its totient is φ = 107644133345280.

The previous prime is 444032050053187. The next prime is 444032050053271. The reversal of 444032050053240 is 42350050230444.

444032050053240 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 32 + 0 + 50 + 0 + 532 + 40 = 666.

It is a super-2 number, since 2×4440320500532402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444032050053195 and 444032050053204.

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, 56064648825 + ... + 56064656744.

Almost surely, 2444032050053240 is an apocalyptic number.

444032050053240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444032050053240 is an abundant number, since it is smaller than the sum of its proper divisors (1130263400149560).

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

444032050053240 is a wasteful number, since it uses less digits than its factorization.

444032050053240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112129305597 (or 112129305590 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 444032050053240 in words is "four hundred forty-four trillion, thirty-two billion, fifty million, fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 112129305569 224258611138 336387916707 448517222276 560646527845 672775833414 897034444552 1009163750121 1121293055690 1233422361259 1345551666828 1681939583535 2018327500242 2242586111380 2466844722518 2691103333656 3363879167070 3700267083777 4036655000484 4485172222760 4933689445036 5045818750605 6167111806295 6727758334140 7400534167554 8073310000968 9867378890072 10091637501210 11100801251331 12334223612590 13455516668280 14801068335108 18501335418885 20183275002420 22201602502662 24668447225180 29602136670216 37002670837770 40366550004840 44403205005324 49336894450360 55504006256655 74005341675540 88806410010648 111008012513310 148010683351080 222016025026620 444032050053240