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203134210440 = 233571132140057
BaseRepresentation
bin1011110100101110111…
…1100001000110001000
3201102022202212001221120
42331023233201012020
511312004324213230
6233152451035240
720450566204530
oct2751357410610
9642282761846
10203134210440
117916aa69967
123345129bb20
1316203764775
149b904624c0
15543d6c9310
hex2f4bbe1188

203134210440 has 128 divisors (see below), whose sum is σ = 702623842560. Its totient is φ = 46019764224.

The previous prime is 203134210399. The next prime is 203134210453. The reversal of 203134210440 is 44012431302.

203134210440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 203134210440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975109 + ... + 1164948.

It is an arithmetic number, because the mean of its divisors is an integer number (5489248770).

Almost surely, 2203134210440 is an apocalyptic number.

203134210440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203134210440 is an abundant number, since it is smaller than the sum of its proper divisors (499489632120).

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

203134210440 is a wasteful number, since it uses less digits than its factorization.

203134210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140191 (or 2140187 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 203134210440 its reverse (44012431302), we get a palindrome (247146641742).

The spelling of 203134210440 in words is "two hundred three billion, one hundred thirty-four million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 113 120 140 168 210 226 280 339 420 452 565 678 791 840 904 1130 1356 1582 1695 2260 2373 2712 3164 3390 3955 4520 4746 6328 6780 7910 9492 11865 13560 15820 18984 23730 31640 47460 94920 2140057 4280114 6420171 8560228 10700285 12840342 14980399 17120456 21400570 25680684 29960798 32100855 42801140 44941197 51361368 59921596 64201710 74901995 85602280 89882394 119843192 128403420 149803990 179764788 224705985 241826441 256806840 299607980 359529576 449411970 483652882 599215960 725479323 898823940 967305764 1209132205 1450958646 1692785087 1797647880 1934611528 2418264410 2901917292 3385570174 3627396615 4836528820 5078355261 5803834584 6771140348 7254793230 8463925435 9673057640 10156710522 13542280696 14509586460 16927850870 20313421044 25391776305 29019172920 33855701740 40626842088 50783552610 67711403480 101567105220 203134210440