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124311400040 = 235231091239643
BaseRepresentation
bin111001111000110001…
…0010110111001101000
3102212212110211102111102
41303301202112321220
54014042204300130
6133035144420532
711660360315552
oct1636142267150
9385773742442
10124311400040
11487a15a9853
1220113777748
13b951498759
146033b9a4d2
15337873c645
hex1cf1896e68

124311400040 has 64 divisors (see below), whose sum is σ = 294539414400. Its totient is φ = 47126230272.

The previous prime is 124311400027. The next prime is 124311400067. The reversal of 124311400040 is 40004113421.

It is a super-3 number, since 3×1243114000403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 124311399985 and 124311400021.

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 15 ways as a sum of consecutive naturals, for example, 519542 + ... + 720101.

It is an arithmetic number, because the mean of its divisors is an integer number (4602178350).

Almost surely, 2124311400040 is an apocalyptic number.

124311400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124311400040 is an abundant number, since it is smaller than the sum of its proper divisors (170228014360).

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

124311400040 is a wasteful number, since it uses less digits than its factorization.

124311400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239786 (or 1239782 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 124311400040 its reverse (40004113421), we get a palindrome (164315513461).

The spelling of 124311400040 in words is "one hundred twenty-four billion, three hundred eleven million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 109 115 184 218 230 436 460 545 872 920 1090 2180 2507 4360 5014 10028 12535 20056 25070 50140 100280 1239643 2479286 4958572 6198215 9917144 12396430 24792860 28511789 49585720 57023578 114047156 135121087 142558945 228094312 270242174 285117890 540484348 570235780 675605435 1080968696 1140471560 1351210870 2702421740 3107785001 5404843480 6215570002 12431140004 15538925005 24862280008 31077850010 62155700020 124311400040