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114120254451140 = 22572203513699301
BaseRepresentation
bin11001111100101010110001…
…001110100110110111000100
3112222001210022202012112212222
4121330222301032212313010
5104424221240114414030
61042414042100031512
733015626201506310
oct3174526116466704
9488053282175788
10114120254451140
11333a914558a883
121097132a392598
134b8a655bc4952
142027642300b40
15d2d7e2b863e5
hex67cab13a6dc4

114120254451140 has 48 divisors (see below), whose sum is σ = 273889927686144. Its totient is φ = 39126756240000.

The previous prime is 114120254451113. The next prime is 114120254451149. The reversal of 114120254451140 is 41154452021411.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 114120254451140.

It is not an unprimeable number, because it can be changed into a prime (114120254451149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28999490 + ... + 32698790.

It is an arithmetic number, because the mean of its divisors is an integer number (5706040160128).

Almost surely, 2114120254451140 is an apocalyptic number.

114120254451140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114120254451140 is an abundant number, since it is smaller than the sum of its proper divisors (159769673235004).

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

114120254451140 is a wasteful number, since it uses less digits than its factorization.

114120254451140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919668 (or 3919666 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The spelling of 114120254451140 in words is "one hundred fourteen trillion, one hundred twenty billion, two hundred fifty-four million, four hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 220351 440702 881404 1101755 1542457 2203510 3084914 3699301 4407020 6169828 7398602 7712285 14797204 15424570 18496505 25895107 30849140 36993010 51790214 73986020 103580428 129475535 258951070 517902140 815144674651 1630289349302 3260578698604 4075723373255 5706012722557 8151446746510 11412025445114 16302893493020 22824050890228 28530063612785 57060127225570 114120254451140