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126291400040 = 23513606740031
BaseRepresentation
bin111010110011110001…
…1011101010101101000
3110001222110112211212202
41311213203131111220
54032121044300130
6134003434555332
712060422121401
oct1654743352550
9401873484782
10126291400040
1149618226093
1220586898b48
13bba875c6a0
146180b2a9a8
15344249e145
hex1d678dd568

126291400040 has 64 divisors (see below), whose sum is σ = 306071861760. Its totient is φ = 46621820160.

The previous prime is 126291400033. The next prime is 126291400099. The reversal of 126291400040 is 40004192621.

It is a junction number, because it is equal to n+sod(n) for n = 126291399976 and 126291400012.

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, 3134825 + ... + 3174855.

It is an arithmetic number, because the mean of its divisors is an integer number (4782372840).

Almost surely, 2126291400040 is an apocalyptic number.

126291400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126291400040 is an abundant number, since it is smaller than the sum of its proper divisors (179780461720).

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

126291400040 is a wasteful number, since it uses less digits than its factorization.

126291400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46122 (or 46118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 126291400040 its reverse (40004192621), we get a palindrome (166295592661).

The spelling of 126291400040 in words is "one hundred twenty-six billion, two hundred ninety-one million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 6067 12134 24268 30335 40031 48536 60670 78871 80062 121340 157742 160124 200155 242680 315484 320248 394355 400310 520403 630968 788710 800620 1040806 1577420 1601240 2081612 2602015 3154840 4163224 5204030 10408060 20816120 242868077 485736154 971472308 1214340385 1942944616 2428680770 3157285001 4857361540 6314570002 9714723080 12629140004 15786425005 25258280008 31572850010 63145700020 126291400040