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114031151401134 = 231117316817320791
BaseRepresentation
bin11001111011010111110010…
…010001011100100010101110
3112221202021100000002121211210
4121323113302101130202232
5104421241244224314014
61042305104320255250
733006323143206312
oct3173276221344256
9487667300077753
10114031151401134
11333743811a8580
1210958001a71526
134b82125b6ba16
1420231cc5a7b42
15d2b32a432859
hex67b5f245c8ae

114031151401134 has 64 divisors (see below), whose sum is σ = 263431906186752. Its totient is φ = 32522049484800.

The previous prime is 114031151401127. The next prime is 114031151401183. The reversal of 114031151401134 is 431104151130411.

114031151401134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1140311514011342 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355308279 + ... + 355629069.

It is an arithmetic number, because the mean of its divisors is an integer number (4116123534168).

Almost surely, 2114031151401134 is an apocalyptic number.

114031151401134 is an abundant number, since it is smaller than the sum of its proper divisors (149400754785618).

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

114031151401134 is a wasteful number, since it uses less digits than its factorization.

114031151401134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637641.

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 114031151401134 in words is "one hundred fourteen trillion, thirty-one billion, one hundred fifty-one million, four hundred one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 316817 320791 633634 641582 950451 962373 1900902 1924746 3484987 3528701 5385889 5453447 6969974 7057402 10454961 10586103 10771778 10906894 16157667 16360341 20909922 21172206 32315334 32720682 59244779 59987917 118489558 119975834 177734337 179963751 355468674 359927502 101632042247 203264084494 304896126741 609792253482 1117952464717 1727744718199 2235904929434 3353857394151 3455489436398 5183234154597 6707714788302 10366468309194 19005191900189 38010383800378 57015575700567 114031151401134