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114926880120 = 233513412717851
BaseRepresentation
bin110101100001000101…
…1010000010101111000
3101222122110012102022120
41223002023100111320
53340332240130440
6124444025521240
711205665235303
oct1530213202570
9358573172276
10114926880120
1144816256068
121a334943220
13aab7166ba0
1457c368db3a
152ec9908dd0
hex1ac22d0578

114926880120 has 128 divisors (see below), whose sum is σ = 371413002240. Its totient is φ = 28281254400.

The previous prime is 114926880091. The next prime is 114926880139. The reversal of 114926880120 is 21088629411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6429195 + ... + 6447045.

It is an arithmetic number, because the mean of its divisors is an integer number (2901664080).

Almost surely, 2114926880120 is an apocalyptic number.

114926880120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114926880120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185706501120).

114926880120 is an abundant number, since it is smaller than the sum of its proper divisors (256486122120).

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

114926880120 is a wasteful number, since it uses less digits than its factorization.

114926880120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22005 (or 22001 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 114926880120 in words is "one hundred fourteen billion, nine hundred twenty-six million, eight hundred eighty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 4127 8254 12381 16508 17851 20635 24762 33016 35702 41270 49524 53553 53651 61905 71404 82540 89255 99048 107106 107302 123810 142808 160953 165080 178510 214212 214604 232063 247620 267765 268255 321906 357020 428424 429208 464126 495240 535530 536510 643812 696189 714040 804765 928252 1071060 1073020 1160315 1287624 1392378 1609530 1856504 2142120 2146040 2320630 2784756 3219060 3480945 4641260 5569512 6438120 6961890 9282520 13923780 27847560 73671077 147342154 221013231 294684308 368355385 442026462 589368616 736710770 884052924 957724001 1105066155 1473421540 1768105848 1915448002 2210132310 2873172003 2946843080 3830896004 4420264620 4788620005 5746344006 7661792008 8840529240 9577240010 11492688012 14365860015 19154480020 22985376024 28731720030 38308960040 57463440060 114926880120