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210041443004300 = 225219594211444953
BaseRepresentation
bin101111110000100000010101…
…100110010010111110001100
31000112200202200022012001122222
4233300200111212102332030
5210012304333402114200
62022415412401554512
762145664522465415
oct5760402546227614
91015622608161588
10210041443004300
1160a20091896946
121b683532345a38
139027a9142454b
1439c20bac2880c
1519439d7505d85
hexbf0815992f8c

210041443004300 has 144 divisors (see below), whose sum is σ = 488027682979200. Its totient is φ = 78226833139200.

The previous prime is 210041443004291. The next prime is 210041443004353. The reversal of 210041443004300 is 3400344140012.

It is a self number, because there is not a number n which added to its sum of digits gives 210041443004300.

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, 471830624 + ... + 472275576.

It is an arithmetic number, because the mean of its divisors is an integer number (3389081131800).

Almost surely, 2210041443004300 is an apocalyptic number.

210041443004300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210041443004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244013841489600).

210041443004300 is an abundant number, since it is smaller than the sum of its proper divisors (277986239974900).

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

210041443004300 is a wasteful number, since it uses less digits than its factorization.

210041443004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449256 (or 449249 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 210041443004300 its reverse (3400344140012), we get a palindrome (213441787144312).

The spelling of 210041443004300 in words is "two hundred ten trillion, forty-one billion, four hundred forty-three million, four thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 59 76 95 100 118 190 236 295 380 475 590 950 1121 1180 1475 1900 2242 2950 4211 4484 5605 5900 8422 11210 16844 21055 22420 28025 42110 56050 80009 84220 105275 112100 160018 210550 248449 320036 400045 421100 444953 496898 800090 889906 993796 1242245 1600180 1779812 2000225 2224765 2484490 4000450 4449530 4720531 4968980 6211225 8000900 8454107 8899060 9441062 11123825 12422450 16908214 18882124 22247650 23602655 24844900 26252227 33816428 42270535 44495300 47205310 52504454 84541070 94410620 105008908 118013275 131261135 169082140 211352675 236026550 262522270 422705350 472053100 498792313 525044540 656305675 845410700 997584626 1312611350 1873697083 1995169252 2493961565 2625222700 3747394166 4987923130 7494788332 9368485415 9975846260 12469807825 18736970830 24939615650 35600244577 37473941660 46842427075 49879231300 71200489154 93684854150 110548127897 142400978308 178001222885 187369708300 221096255794 356002445770 442192511588 552740639485 712004891540 890006114425 1105481278970 1780012228850 2100414430043 2210962557940 2763703197425 3560024457700 4200828860086 5527406394850 8401657720172 10502072150215 11054812789700 21004144300430 42008288600860 52510360751075 105020721502150 210041443004300