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114262040100 = 223521329297959
BaseRepresentation
bin110101001101010001…
…1000101111000100100
3101220221010012001021010
41222122203011320210
53333002040240400
6124254040022220
711153343213225
oct1523243057044
9356833161233
10114262040100
1144504a409aa
121a18a161970
13aa0c4b8320
14575d26924c
152e8b37e450
hex1a9a8c5e24

114262040100 has 72 divisors (see below), whose sum is σ = 356028809920. Its totient is φ = 28126039680.

The previous prime is 114262040099. The next prime is 114262040119. The reversal of 114262040100 is 1040262411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14645080 + ... + 14652879.

Almost surely, 2114262040100 is an apocalyptic number.

114262040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114262040100 is an abundant number, since it is smaller than the sum of its proper divisors (241766769820).

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

114262040100 is a wasteful number, since it uses less digits than its factorization.

114262040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29297989 (or 29297982 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 114262040100 in words is "one hundred fourteen billion, two hundred sixty-two million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 29297959 58595918 87893877 117191836 146489795 175787754 292979590 351575508 380873467 439469385 585959180 732448975 761746934 878938770 1142620401 1464897950 1523493868 1757877540 1904367335 2197346925 2285240802 2929795900 3808734670 4394693850 4570481604 5713102005 7617469340 8789387700 9521836675 11426204010 19043673350 22852408020 28565510025 38087346700 57131020050 114262040100