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23243144231340 = 223251147924507227
BaseRepresentation
bin1010100100011101101110…
…10110101111100110101100
310001022000121200111111122100
411102032313112233212230
511021303424410400330
6121233430354215100
74616155532112015
oct522166726574654
9101260550444570
1023243144231340
1174513a8a75550
122734815b84490
13cc7a85728b77
145a4d8d23200c
152a491a5ba060
hex1523b75af9ac

23243144231340 has 144 divisors (see below), whose sum is σ = 77074251770880. Its totient is φ = 5622937933440.

The previous prime is 23243144231339. The next prime is 23243144231369. The reversal of 23243144231340 is 4313244134232.

23243144231340 is a `hidden beast` number, since 2 + 3 + 2 + 43 + 1 + 44 + 231 + 340 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23243144231295 and 23243144231304.

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, 11305194 + ... + 13202033.

It is an arithmetic number, because the mean of its divisors is an integer number (535237859520).

Almost surely, 223243144231340 is an apocalyptic number.

23243144231340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23243144231340 is an abundant number, since it is smaller than the sum of its proper divisors (53831107539540).

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

23243144231340 is a wasteful number, since it uses less digits than its factorization.

23243144231340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24507732 (or 24507727 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 23243144231340 its reverse (4313244134232), we get a palindrome (27556388365572).

The spelling of 23243144231340 in words is "twenty-three trillion, two hundred forty-three billion, one hundred forty-four million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 479 495 660 958 990 1437 1916 1980 2395 2874 4311 4790 5269 5748 7185 8622 9580 10538 14370 15807 17244 21076 21555 26345 28740 31614 43110 47421 52690 63228 79035 86220 94842 105380 158070 189684 237105 316140 474210 948420 24507227 49014454 73521681 98028908 122536135 147043362 220565043 245072270 269579497 294086724 367608405 441130086 490144540 539158994 735216810 808738491 882260172 1078317988 1102825215 1347897485 1470433620 1617476982 2205650430 2426215473 2695794970 3234953964 4043692455 4411300860 4852430946 5391589940 8087384910 9704861892 11738961733 12131077365 16174769820 23477923466 24262154730 35216885199 46955846932 48524309460 58694808665 70433770398 105650655597 117389617330 129128579063 140867540796 176084425995 211301311194 234779234660 258257158126 352168851990 387385737189 422602622388 516514316252 528253277985 645642895315 704337703980 774771474378 1056506555970 1162157211567 1291285790630 1549542948756 1936928685945 2113013111940 2324314423134 2582571581260 3873857371890 4648628846268 5810786057835 7747714743780 11621572115670 23243144231340