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114064275120 = 24351254737879
BaseRepresentation
bin110101000111011000…
…0101011011010110000
3101220102100001112201020
41222032300223122300
53332100423300440
6124222253135440
711145422225025
oct1521660533260
9356370045636
10114064275120
1144413345174
121a133a8a580
13a9aa534423
145740ca954c
152e78d173d0
hex1a8ec2b6b0

114064275120 has 80 divisors (see below), whose sum is σ = 353636770560. Its totient is φ = 30413912832.

The previous prime is 114064275113. The next prime is 114064275133. The reversal of 114064275120 is 21572460411.

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

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, 2992341 + ... + 3030219.

It is an arithmetic number, because the mean of its divisors is an integer number (4420459632).

Almost surely, 2114064275120 is an apocalyptic number.

114064275120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114064275120 is an abundant number, since it is smaller than the sum of its proper divisors (239572495440).

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

114064275120 is a wasteful number, since it uses less digits than its factorization.

114064275120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50442 (or 50436 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 114064275120 in words is "one hundred fourteen billion, sixty-four million, two hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 12547 25094 37641 37879 50188 62735 75282 75758 100376 113637 125470 150564 151516 188205 189395 200752 227274 250940 301128 303032 376410 378790 454548 501880 568185 602256 606064 752820 757580 909096 1003760 1136370 1505640 1515160 1818192 2272740 3011280 3030320 4545480 9090960 475267813 950535626 1425803439 1901071252 2376339065 2851606878 3802142504 4752678130 5703213756 7129017195 7604285008 9505356260 11406427512 14258034390 19010712520 22812855024 28516068780 38021425040 57032137560 114064275120