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244642041300 = 223527997106417
BaseRepresentation
bin1110001111010111001…
…1010100110111010100
3212101110112011100112110
43203311303110313110
513002011330310200
6304215331551020
723450313016626
oct3436563246724
9771415140473
10244642041300
1194830066608
123b4b615b470
131a0ba01b727
14bbaadb0c16
15656c755b50
hex38f5cd4dd4

244642041300 has 144 divisors (see below), whose sum is σ = 724187260160. Its totient is φ = 63747440640.

The previous prime is 244642041283. The next prime is 244642041307. The reversal of 244642041300 is 3140246442.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244642041307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2245692 + ... + 2352108.

Almost surely, 2244642041300 is an apocalyptic number.

244642041300 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 244642041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362093630080).

244642041300 is an abundant number, since it is smaller than the sum of its proper divisors (479545218860).

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

244642041300 is a wasteful number, since it uses less digits than its factorization.

244642041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106610 (or 106603 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 244642041300 its reverse (3140246442), we get a palindrome (247782287742).

The spelling of 244642041300 in words is "two hundred forty-four billion, six hundred forty-two million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 97 100 150 158 194 237 291 300 316 388 395 474 485 582 790 948 970 1164 1185 1455 1580 1940 1975 2370 2425 2910 3950 4740 4850 5820 5925 7275 7663 7900 9700 11850 14550 15326 22989 23700 29100 30652 38315 45978 76630 91956 106417 114945 153260 191575 212834 229890 319251 383150 425668 459780 532085 574725 638502 766300 1064170 1149450 1277004 1596255 2128340 2298900 2660425 3192510 5320850 6385020 7981275 8406943 10322449 10641700 15962550 16813886 20644898 25220829 30967347 31925100 33627772 41289796 42034715 50441658 51612245 61934694 84069430 100883316 103224490 123869388 126104145 154836735 168138860 206448980 210173575 252208290 258061225 309673470 420347150 504416580 516122450 619346940 630520725 774183675 815473471 840694300 1032244900 1261041450 1548367350 1630946942 2446420413 2522082900 3096734700 3261893884 4077367355 4892840826 8154734710 9785681652 12232102065 16309469420 20386836775 24464204130 40773673550 48928408260 61160510325 81547347100 122321020650 244642041300