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114001113322134 = 232193271112104581
BaseRepresentation
bin11001111010111011110011…
…110111010001001010010110
3112221122101210121011002220100
4121322323303313101022112
5104420243240002302014
61042243215524114530
733004210601563053
oct3172736367211226
9487571717132810
10114001113322134
11333626675161a5
121095221a235a46
134b7c34993358c
14202197d08a02a
15d2a66d2d6009
hex67aef3dd1296

114001113322134 has 48 divisors (see below), whose sum is σ = 248373821221344. Its totient is φ = 37789530393600.

The previous prime is 114001113322127. The next prime is 114001113322141. The reversal of 114001113322134 is 431223311100411.

114001113322134 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 111 + 332 + 213 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (114001113322127) and next prime (114001113322141).

It is a junction number, because it is equal to n+sod(n) for n = 114001113322098 and 114001113322107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3365724 + ... + 15470304.

It is an arithmetic number, because the mean of its divisors is an integer number (5174454608778).

Almost surely, 2114001113322134 is an apocalyptic number.

114001113322134 is an abundant number, since it is smaller than the sum of its proper divisors (134372707899210).

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

114001113322134 is a wasteful number, since it uses less digits than its factorization.

114001113322134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12107493 (or 12107490 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 114001113322134 its reverse (431223311100411), we get a palindrome (545224424422545).

The spelling of 114001113322134 in words is "one hundred fourteen trillion, one billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 2711 3474 5422 8133 16266 24399 48798 523223 1046446 1569669 3139338 4709007 9418014 12104581 24209162 36313743 72627486 108941229 217882458 2336184133 4672368266 7008552399 14017104798 21025657197 32815519091 42051314394 65631038182 98446557273 196893114546 295339671819 590679343638 6333395184563 12666790369126 19000185553689 38000371107378 57000556661067 114001113322134