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114460532540144 = 2474492276100313
BaseRepresentation
bin11010000001100111101011…
…011000100000001011110000
3120000021022122022110111112022
4122001213223120200023300
5110000310132312241034
61043234235344251012
733052333461523610
oct3201475330401360
9500238568414468
10114460532540144
113351a49170353a
1210a07274910a68
134bb37745a16cb
142039cc291ca40
15d375ab45db2e
hex6819eb6202f0

114460532540144 has 40 divisors (see below), whose sum is σ = 254012795042400. Its totient is φ = 48945261109248.

The previous prime is 114460532540113. The next prime is 114460532540147. The reversal of 114460532540144 is 441045235064411.

It is a junction number, because it is equal to n+sod(n) for n = 114460532540095 and 114460532540104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114460532540147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1137999869 + ... + 1138100444.

It is an arithmetic number, because the mean of its divisors is an integer number (6350319876060).

Almost surely, 2114460532540144 is an apocalyptic number.

114460532540144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114460532540144 is an abundant number, since it is smaller than the sum of its proper divisors (139552262502256).

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

114460532540144 is a wasteful number, since it uses less digits than its factorization.

114460532540144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276100777 (or 2276100771 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 114460532540144 in words is "one hundred fourteen trillion, four hundred sixty billion, five hundred thirty-two million, five hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 449 898 1796 3143 3592 6286 7184 12572 25144 50288 2276100313 4552200626 9104401252 15932702191 18208802504 31865404382 36417605008 63730808764 127461617528 254923235056 1021969040537 2043938081074 4087876162148 7153783283759 8175752324296 14307566567518 16351504648592 28615133135036 57230266270072 114460532540144