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244122323245020 = 2232511294251520781
BaseRepresentation
bin110111100000011100101000…
…010110111101011111011100
31012000100212101110000110100100
4313200130220112331133130
5223444200004222320040
62223112125211301100
7102264153513664113
oct6740345026753734
91160325343013310
10244122323245020
117086a772241510
122346866014a790
13a62a836c5ca0c
14443d825144c7a
151d352adb80b30
hexde07285bd7dc

244122323245020 has 144 divisors (see below), whose sum is σ = 835678924909920. Its totient is φ = 57140439283200.

The previous prime is 244122323245019. The next prime is 244122323245063. The reversal of 244122323245020 is 20542323221442.

244122323245020 is a `hidden beast` number, since 2 + 4 + 4 + 122 + 3 + 2 + 3 + 24 + 502 + 0 = 666.

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

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, 2125702971 + ... + 2125817810.

It is an arithmetic number, because the mean of its divisors is an integer number (5803325867430).

Almost surely, 2244122323245020 is an apocalyptic number.

244122323245020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244122323245020 is an abundant number, since it is smaller than the sum of its proper divisors (591556601664900).

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

244122323245020 is a wasteful number, since it uses less digits than its factorization.

244122323245020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251520836 (or 4251520831 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 244122323245020 its reverse (20542323221442), we get a palindrome (264664646466462).

The spelling of 244122323245020 in words is "two hundred forty-four trillion, one hundred twenty-two billion, three hundred twenty-three million, two hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 4251520781 8503041562 12754562343 17006083124 21257603905 25509124686 38263687029 42515207810 46766728591 51018249372 63772811715 76527374058 85030415620 93533457182 123294102649 127545623430 140300185773 153054748116 187066914364 191318435145 233833642955 246588205298 255091246860 280600371546 369882307947 382636870290 420900557319 467667285910 493176410596 561200743092 616470513245 701500928865 739764615894 765273740580 841801114638 935334571820 1109646923841 1232941026490 1356235129139 1403001857730 1479529231788 1683602229276 1849411539735 2104502786595 2219293847682 2465882052980 2712470258278 2806003715460 3698823079470 4068705387417 4209005573190 4438587695364 5424940516556 5548234619205 6781175645695 7397646158940 8137410774834 8418011146380 11096469238410 12206116162251 13562351291390 16274821549668 20343526937085 22192938476820 24412232324502 27124702582780 40687053874170 48824464649004 61030580811255 81374107748340 122061161622510 244122323245020