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114031134401140 = 225111657312808291
BaseRepresentation
bin11001111011010111110001…
…010000100110001001110100
3112221202021021211002221020101
4121323113301100212021310
5104421241230401314030
61042305102512043444
733006322545543535
oct3173276120461164
9487667254087211
10114031134401140
11333743726471a0
1210957bb8233584
134b82122498c58
1420231ca22068c
15d2b328bc57ca
hex67b5f1426274

114031134401140 has 48 divisors (see below), whose sum is σ = 261392618660544. Its totient is φ = 41440842259200.

The previous prime is 114031134401111. The next prime is 114031134401143. The reversal of 114031134401140 is 41104431130411.

It is a super-2 number, since 2×1140311344011402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114031134401099 and 114031134401108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114031134401143) 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, 156039606 + ... + 156768685.

It is an arithmetic number, because the mean of its divisors is an integer number (5445679555428).

Almost surely, 2114031134401140 is an apocalyptic number.

114031134401140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114031134401140 is an abundant number, since it is smaller than the sum of its proper divisors (147361484259404).

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

114031134401140 is a wasteful number, since it uses less digits than its factorization.

114031134401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312809968 (or 312809966 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 114031134401140 its reverse (41104431130411), we get a palindrome (155135565531551).

The spelling of 114031134401140 in words is "one hundred fourteen trillion, thirty-one billion, one hundred thirty-four million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1657 3314 6628 8285 16570 18227 33140 36454 72908 91135 182270 364540 312808291 625616582 1251233164 1564041455 3128082910 3440891201 6256165820 6881782402 13763564804 17204456005 34408912010 68817824020 518323338187 1036646676374 2073293352748 2591616690935 5183233381870 5701556720057 10366466763740 11403113440114 22806226880228 28507783600285 57015567200570 114031134401140