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2142035724920 = 2357132325585711
BaseRepresentation
bin11111001010111011010…
…001110100101001111000
321120202222011010021022112
4133022323101310221320
5240043342121144140
64320012043311452
7310520433150320
oct37127321645170
97522864107275
102142035724920
11756483362213
122a718351b588
13126cbaacb410
14759645d6280
153aabc7bbc65
hex1f2bb474a78

2142035724920 has 128 divisors (see below), whose sum is σ = 6189695447040. Its totient is φ = 648444234240.

The previous prime is 2142035724919. The next prime is 2142035724931. The reversal of 2142035724920 is 294275302412.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12709136 + ... + 12876575.

It is an arithmetic number, because the mean of its divisors is an integer number (48356995680).

Almost surely, 22142035724920 is an apocalyptic number.

2142035724920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142035724920 is an abundant number, since it is smaller than the sum of its proper divisors (4047659722120).

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

2142035724920 is a wasteful number, since it uses less digits than its factorization.

2142035724920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25585765 (or 25585761 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 2142035724920 in words is "two trillion, one hundred forty-two billion, thirty-five million, seven hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 70 91 92 104 115 130 140 161 182 184 230 260 280 299 322 364 455 460 520 598 644 728 805 910 920 1196 1288 1495 1610 1820 2093 2392 2990 3220 3640 4186 5980 6440 8372 10465 11960 16744 20930 41860 83720 25585711 51171422 102342844 127928555 179099977 204685688 255857110 332614243 358199954 511714220 588471353 665228486 716399908 895499885 1023428440 1176942706 1330456972 1432799816 1663071215 1790999770 2328299701 2353885412 2660913944 2942356765 3326142430 3581999540 4119299471 4656599402 4707770824 5884713530 6652284860 7163999080 7650127589 8238598942 9313198804 11641498505 11769427060 13304569720 15300255178 16477197884 18626397608 20596497355 23282997010 23538854120 30600510356 32954395768 38250637945 41192994710 46565994020 53550893123 61201020712 76501275890 82385989420 93131988040 107101786246 153002551780 164771978840 214203572492 267754465615 306005103560 428407144984 535508931230 1071017862460 2142035724920