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412244141100 = 2235211314029757
BaseRepresentation
bin1011111111110111010…
…10100110010000101100
31110102002000002011222020
411333323222212100230
523223234000003400
6513214330350140
741532536245251
oct5777352462054
91412060064866
10412244141100
11149917085880
1267a8b88b350
132cb4a24384c
1415d4a3b3428
15aacb7e22a0
hex5ffbaa642c

412244141100 has 144 divisors (see below), whose sum is σ = 1343166698496. Its totient is φ = 96714144000.

The previous prime is 412244141081. The next prime is 412244141213. The reversal of 412244141100 is 1141442214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1912579 + ... + 2117178.

Almost surely, 2412244141100 is an apocalyptic number.

It is an amenable number.

412244141100 is an abundant number, since it is smaller than the sum of its proper divisors (930922557396).

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

412244141100 is a wasteful number, since it uses less digits than its factorization.

412244141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029816 (or 4029809 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 412244141100 its reverse (1141442214), we get a palindrome (413385583314).

The spelling of 412244141100 in words is "four hundred twelve billion, two hundred forty-four million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20460 25575 34100 51150 102300 4029757 8059514 12089271 16119028 20148785 24178542 40297570 44327327 48357084 60446355 80595140 88654654 100743925 120892710 124922467 132981981 177309308 201487850 221636635 241785420 249844934 265963962 302231775 374767401 402975700 443273270 499689868 531927924 604463550 624612335 664909905 749534802 886546540 1108183175 1208927100 1249224670 1329819810 1374147137 1499069604 1873837005 2216366350 2498449340 2659639620 2748294274 3123061675 3324549525 3747674010 4122441411 4432732700 5496588548 6246123350 6649099050 6870735685 7495348020 8244882822 9369185025 12492246700 13298198100 13741471370 16489765644 18738370050 20612207055 27482942740 34353678425 37476740100 41224414110 68707356850 82448828220 103061035275 137414713700 206122070550 412244141100