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114878621142 = 2341987742557
BaseRepresentation
bin110101011111101001…
…1001010010111010110
3101222112002101121110000
41222333103022113112
53340232411334032
6124435143312130
711204541111465
oct1527723122726
9358462347400
10114878621142
11447a0a9440a
121a32074b646
13aaaa16b08c
1457bb0ca9dc
152ec5574e7c
hex1abf4ca5d6

114878621142 has 80 divisors (see below), whose sum is σ = 271276608240. Its totient is φ = 36235242432.

The previous prime is 114878621131. The next prime is 114878621147. The reversal of 114878621142 is 241126878411.

114878621142 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 7 + 8 + 621 + 14 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114878621147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2678128 + ... + 2720684.

It is an arithmetic number, because the mean of its divisors is an integer number (3390957603).

Almost surely, 2114878621142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114878621142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135638304120).

114878621142 is an abundant number, since it is smaller than the sum of its proper divisors (156397987098).

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

114878621142 is a wasteful number, since it uses less digits than its factorization.

114878621142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43467 (or 43458 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The spelling of 114878621142 in words is "one hundred fourteen billion, eight hundred seventy-eight million, six hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 877 1026 1539 1754 2631 3078 5262 7893 15786 16663 23679 33326 42557 47358 49989 71037 85114 99978 127671 142074 149967 255342 299934 383013 449901 766026 808583 899802 1149039 1349703 1617166 2298078 2425749 2699406 3447117 4851498 6894234 7277247 14554494 21831741 37322489 43663482 65495223 74644978 111967467 130990446 223934934 335902401 671804802 709127291 1007707203 1418254582 2015414406 2127381873 3023121609 4254763746 6046243218 6382145619 12764291238 19146436857 38292873714 57439310571 114878621142