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44080008040080 = 24325106703573763
BaseRepresentation
bin10100000010111001011010…
…01110001000111010010000
312210002000012112212021011100
422001130231032020322100
521234201324024240310
6233430024240144400
712166450456135665
oct1201345516107220
9183060175767140
1044080008040080
1113055254414411
124b3b001608100
131b7995b08173c
14ac56ab687a6c
1551694ec32ec0
hex28172d388e90

44080008040080 has 120 divisors (see below), whose sum is σ = 148037005703808. Its totient is φ = 11754538161408.

The previous prime is 44080008040063. The next prime is 44080008040111. The reversal of 44080008040080 is 8004080008044.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76539279 + ... + 77113041.

Almost surely, 244080008040080 is an apocalyptic number.

44080008040080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44080008040080 is an abundant number, since it is smaller than the sum of its proper divisors (103956997663728).

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

44080008040080 is a wasteful number, since it uses less digits than its factorization.

44080008040080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680485 (or 680476 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 44080008040080 in words is "forty-four trillion, eighty billion, eight million, forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 106703 213406 320109 426812 533515 573763 640218 853624 960327 1067030 1147526 1280436 1600545 1707248 1721289 1920654 2134060 2295052 2560872 2868815 3201090 3442578 3841308 4268120 4590104 4801635 5121744 5163867 5737630 6402180 6885156 7682616 8536240 8606445 9180208 9603270 10327734 11475260 12804360 13770312 15365232 17212890 19206540 20655468 22950520 25608720 25819335 27540624 34425780 38413080 41310936 45901040 51638670 68851560 76826160 82621872 103277340 137703120 206554680 413109360 61222233389 122444466778 183666700167 244888933556 306111166945 367333400334 489777867112 551000100501 612222333890 734666800668 918333500835 979555734224 1102000201002 1224444667780 1469333601336 1836667001670 2204000402004 2448889335560 2755000502505 2938667202672 3673334003340 4408000804008 4897778671120 5510001005010 7346668006680 8816001608016 11020002010020 14693336013360 22040004020040 44080008040080