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1314254693040 = 243523603232007
BaseRepresentation
bin10011000111111111101…
…011110010001010110000
311122122022200001212222020
4103013333223302022300
5133013043200134130
62443432115111440
7163644312366252
oct23077753621260
94578280055866
101314254693040
1146741056a043
121928652a2580
1396c1a3ccb53
14478787ddcd2
15242c05b7e10
hex131ffaf22b0

1314254693040 has 80 divisors (see below), whose sum is σ = 4074379723008. Its totient is φ = 350451559168.

The previous prime is 1314254693021. The next prime is 1314254693051. The reversal of 1314254693040 is 403964524131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1314254692983 and 1314254693001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5548717 + ... + 5780723.

Almost surely, 21314254693040 is an apocalyptic number.

1314254693040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314254693040 is an abundant number, since it is smaller than the sum of its proper divisors (2760125029968).

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

1314254693040 is a wasteful number, since it uses less digits than its factorization.

1314254693040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255626 (or 255620 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 1314254693040 in words is "one trillion, three hundred fourteen billion, two hundred fifty-four million, six hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 23603 47206 70809 94412 118015 141618 188824 232007 236030 283236 354045 377648 464014 472060 566472 696021 708090 928028 944120 1132944 1160035 1392042 1416180 1856056 1888240 2320070 2784084 2832360 3480105 3712112 4640140 5568168 5664720 6960210 9280280 11136336 13920420 18560560 27840840 55681680 5476061221 10952122442 16428183663 21904244884 27380306105 32856367326 43808489768 54760612210 65712734652 82140918315 87616979536 109521224420 131425469304 164281836630 219042448840 262850938608 328563673260 438084897680 657127346520 1314254693040