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400253542112040 = 23354577298569331
BaseRepresentation
bin101101100000001110100101…
…0001100101001101100101000
31221111011212100112110220111220
41123000131022030221230220
5404430223223240041130
63535133534442222040
7150210235620214341
oct13300351214515450
91844155315426456
10400253542112040
11106595634a30071
1238a839994b4920
13142449933cc216
1470ba53665b0c8
1531417a6dc2410
hex16c074a329b28

400253542112040 has 64 divisors (see below), whose sum is σ = 1203388111460160. Its totient is φ = 106500723663360.

The previous prime is 400253542111937. The next prime is 400253542112057. The reversal of 400253542112040 is 40211245352004.

It is a junction number, because it is equal to n+sod(n) for n = 400253542111992 and 400253542112010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3649229826 + ... + 3649339505.

It is an arithmetic number, because the mean of its divisors is an integer number (18802939241565).

Almost surely, 2400253542112040 is an apocalyptic number.

400253542112040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400253542112040 is an abundant number, since it is smaller than the sum of its proper divisors (803134569348120).

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

400253542112040 is a wasteful number, since it uses less digits than its factorization.

400253542112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7298569802 (or 7298569798 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 400253542112040 its reverse (40211245352004), we get a palindrome (440464787464044).

The spelling of 400253542112040 in words is "four hundred trillion, two hundred fifty-three billion, five hundred forty-two million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 457 914 1371 1828 2285 2742 3656 4570 5484 6855 9140 10968 13710 18280 27420 54840 7298569331 14597138662 21895707993 29194277324 36492846655 43791415986 58388554648 72985693310 87582831972 109478539965 145971386620 175165663944 218957079930 291942773240 437914159860 875828319720 3335446184267 6670892368534 10006338552801 13341784737068 16677230921335 20012677105602 26683569474136 33354461842670 40025354211204 50031692764005 66708923685340 80050708422408 100063385528010 133417847370680 200126771056020 400253542112040