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44104105442100 = 223521141507321991
BaseRepresentation
bin10100000011100110010011…
…00010011011101100110100
312210011022101221101010022110
422001303021202123230310
521240100201443121400
6233445051335131020
712201262563521244
oct1201631142335464
9183138357333273
1044104105442100
111306449a8041a0
124b43807813a70
131b7bccb5c1bc2
14ac6915bd9b24
155173b0563e50
hex281cc989bb34

44104105442100 has 144 divisors (see below), whose sum is σ = 139212380837376. Its totient is φ = 10691613552000.

The previous prime is 44104105442099. The next prime is 44104105442179. The reversal of 44104105442100 is 124450140144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136812105 + ... + 137134095.

It is an arithmetic number, because the mean of its divisors is an integer number (966752644704).

Almost surely, 244104105442100 is an apocalyptic number.

It is an amenable number.

44104105442100 is an abundant number, since it is smaller than the sum of its proper divisors (95108275395276).

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

44104105442100 is a wasteful number, since it uses less digits than its factorization.

44104105442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363526 (or 363519 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 44104105442100 its reverse (124450140144), we get a palindrome (44228555582244).

The spelling of 44104105442100 in words is "forty-four trillion, one hundred four billion, one hundred five million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 41507 83014 124521 166028 207535 249042 321991 415070 456577 498084 622605 643982 830140 913154 965973 1037675 1245210 1287964 1369731 1609955 1826308 1931946 2075350 2282885 2490420 2739462 3113025 3219910 3541901 3863892 4150700 4565770 4829865 5478924 6226050 6439820 6848655 7083802 8049775 9131540 9659730 10625703 11414425 12452100 13697310 14167604 16099550 17709505 19319460 21251406 22828850 24149325 27394620 32199100 34243275 35419010 42502812 45657700 48298650 53128515 68486550 70838020 88547525 96597300 106257030 136973100 177095050 212514060 265642575 354190100 531285150 1062570300 13364880437 26729760874 40094641311 53459521748 66824402185 80189282622 133648804370 147013684807 160378565244 200473206555 267297608740 294027369614 334122010925 400946413110 441041054421 588054739228 668244021850 735068424035 801892826220 882082108842 1002366032775 1336488043700 1470136848070 1764164217684 2004732065550 2205205272105 2940273696140 3675342120175 4009464131100 4410410544210 7350684240350 8820821088420 11026026360525 14701368480700 22052052721050 44104105442100