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40243101345468 = 22327250109638501
BaseRepresentation
bin10010010011001110100111…
…10000101010011010111100
312021111012110220222220111100
421021213103300222122330
520233320332421023333
6221331231525453100
711322316365302040
oct1111472360523274
9167435426886440
1040243101345468
111190600463503a
12461b471271190
13195bba6345748
149d1ac29d2020
1549bc3708a213
hex2499d3c2a6bc

40243101345468 has 72 divisors (see below), whose sum is σ = 116258495240160. Its totient is φ = 11497964976000.

The previous prime is 40243101345467. The next prime is 40243101345541. The reversal of 40243101345468 is 86454310134204.

40243101345468 is a `hidden beast` number, since 4 + 0 + 2 + 43 + 10 + 134 + 5 + 468 = 666.

40243101345468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40243101345467) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62708218 + ... + 63346718.

It is an arithmetic number, because the mean of its divisors is an integer number (1614701322780).

Almost surely, 240243101345468 is an apocalyptic number.

It is an amenable number.

40243101345468 is an abundant number, since it is smaller than the sum of its proper divisors (76015393894692).

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

40243101345468 is a wasteful number, since it uses less digits than its factorization.

40243101345468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888627 (or 888622 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 40243101345468 in words is "forty trillion, two hundred forty-three billion, one hundred one million, three hundred forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 250109 500218 638501 750327 1000436 1277002 1500654 1750763 1915503 2250981 2554004 3001308 3501526 3831006 4469507 4501962 5252289 5746509 7003052 7662012 8939014 9003924 10504578 11493018 13408521 15756867 17878028 21009156 22986036 26817042 31513734 40225563 53634084 63027468 80451126 160902252 159694846609 319389693218 479084539827 638779386436 958169079654 1117863926263 1437253619481 1916338159308 2235727852526 2874507238962 3353591778789 4471455705052 5749014477924 6707183557578 10060775336367 13414367115156 20121550672734 40243101345468