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42031044214200 = 233252191228977901
BaseRepresentation
bin10011000111010000111010…
…11101011011110110111000
312111211010110201221100020200
421203220131131123312320
521002114034304323300
6225220443430322200
711565433313030646
oct1143503535336670
9174733421840220
1042031044214200
11124352a1791528
124869a937b9360
131a5b683641b42
14a54455d50196
154cd4cd33a200
hex263a1d75bdb8

42031044214200 has 144 divisors (see below), whose sum is σ = 148583428351800. Its totient is φ = 10618369056000.

The previous prime is 42031044214183. The next prime is 42031044214213. The reversal of 42031044214200 is 241244013024.

42031044214200 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 1 + 0 + 442 + 14 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 614454751 + ... + 614523150.

Almost surely, 242031044214200 is an apocalyptic number.

42031044214200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42031044214200 is an abundant number, since it is smaller than the sum of its proper divisors (106552384137600).

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

42031044214200 is a wasteful number, since it uses less digits than its factorization.

42031044214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228977942 (or 1228977930 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42031044214200 its reverse (241244013024), we get a palindrome (42272288227224).

The spelling of 42031044214200 in words is "forty-two trillion, thirty-one billion, forty-four million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 6840 8550 11400 17100 34200 1228977901 2457955802 3686933703 4915911604 6144889505 7373867406 9831823208 11060801109 12289779010 14747734812 18434668515 22121602218 23350580119 24579558020 29495469624 30724447525 36869337030 44243204436 46701160238 49159116040 55304005545 61448895050 70051740357 73738674060 88486408872 92173342575 93402320476 110608011090 116752900595 122897790100 140103480714 147477348120 184346685150 186804640952 210155221071 221216022180 233505801190 245795580200 276520027725 280206961428 350258701785 368693370300 420310442142 442432044360 467011602380 553040055450 560413922856 583764502975 700517403570 737386740600 840620884284 934023204760 1050776105355 1106080110900 1167529005950 1401034807140 1681241768568 1751293508925 2101552210710 2212160221800 2335058011900 2802069614280 3502587017850 4203104421420 4670116023800 5253880526775 7005174035700 8406208842840 10507761053550 14010348071400 21015522107100 42031044214200