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40342753000 = 23531110933647
BaseRepresentation
bin100101100100100111…
…011000111011101000
310212010120000012020001
4211210213120323220
51130110221044000
630311101112344
72625505512454
oct454447307350
9125116005201
1040342753000
1116122483490
12799a8586b4
133a5c09bca4
141d49d0d664
1510b1b3d46a
hex9649d8ee8

40342753000 has 128 divisors (see below), whose sum is σ = 103931942400. Its totient is φ = 14535072000.

The previous prime is 40342752979. The next prime is 40342753013. The reversal of 40342753000 is 35724304.

40342753000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40342753000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182177 + ... + 1215823.

It is an arithmetic number, because the mean of its divisors is an integer number (811968300).

Almost surely, 240342753000 is an apocalyptic number.

40342753000 is a gapful number since it is divisible by the number (40) 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 40342753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51965971200).

40342753000 is an abundant number, since it is smaller than the sum of its proper divisors (63589189400).

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

40342753000 is a wasteful number, since it uses less digits than its factorization.

40342753000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33788 (or 33774 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The spelling of 40342753000 in words is "forty billion, three hundred forty-two million, seven hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 109 110 125 200 218 220 250 275 436 440 500 545 550 872 1000 1090 1100 1199 1375 2180 2200 2398 2725 2750 4360 4796 5450 5500 5995 9592 10900 11000 11990 13625 21800 23980 27250 29975 33647 47960 54500 59950 67294 109000 119900 134588 149875 168235 239800 269176 299750 336470 370117 599500 672940 740234 841175 1199000 1345880 1480468 1682350 1850585 2960936 3364700 3667523 3701170 4205875 6729400 7335046 7402340 8411750 9252925 14670092 14804680 16823500 18337615 18505850 29340184 33647000 36675230 37011700 40342753 46264625 73350460 74023400 80685506 91688075 92529250 146700920 161371012 183376150 185058500 201713765 322742024 366752300 370117000 403427530 458440375 733504600 806855060 916880750 1008568825 1613710120 1833761500 2017137650 3667523000 4034275300 5042844125 8068550600 10085688250 20171376500 40342753000