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114015054200110 = 257231391732944933
BaseRepresentation
bin11001111011001000110010…
…110011011111110100101110
3112221200201210011101002022021
4121323020302303133310232
5104421010312333400420
61042253443125340354
733005213221232140
oct3173106263376456
9487621704332267
10114015054200110
1133368570803158
1210954a6ab676ba
134b8075bc11cbb
142022502772c90
15d2abd713b7aa
hex67b232cdfd2e

114015054200110 has 128 divisors (see below), whose sum is σ = 247928574781440. Its totient is φ = 36907678342656.

The previous prime is 114015054200083. The next prime is 114015054200143. The reversal of 114015054200110 is 11002450510411.

It is a happy number.

114015054200110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37243204 + ... + 40188136.

It is an arithmetic number, because the mean of its divisors is an integer number (1936941990480).

Almost surely, 2114015054200110 is an apocalyptic number.

114015054200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114015054200110 is an abundant number, since it is smaller than the sum of its proper divisors (133913520581330).

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

114015054200110 is a wasteful number, since it uses less digits than its factorization.

114015054200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945282.

The product of its (nonzero) digits is 800, while the sum is 25.

The spelling of 114015054200110 in words is "one hundred fourteen trillion, fifteen billion, fifty-four million, two hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 139 161 173 230 278 322 346 695 805 865 973 1211 1390 1610 1730 1946 2422 3197 3979 4865 6055 6394 7958 9730 12110 15985 19895 22379 24047 27853 31970 39790 44758 48094 55706 111895 120235 139265 168329 223790 240470 278530 336658 553081 841645 1106162 1683290 2765405 2944933 3871567 5530810 5889866 7743134 14724665 19357835 20614531 29449330 38715670 41229062 67733459 103072655 135466918 206145310 338667295 409345687 474134213 509473409 677334590 818691374 948268426 1018946818 2046728435 2370671065 2547367045 2865419809 3566313863 4093456870 4741342130 5094734090 5730839618 7132627726 9414950801 11717888407 14327099045 17831569315 18829901602 23435776814 28654198090 35663138630 47074754005 58589442035 65904655607 70816803851 82025218849 94149508010 117178884070 131809311214 141633607702 164050437698 329523278035 354084019255 410126094245 495717626957 659046556070 708168038510 820252188490 991435253914 1628786488573 2478588134785 3257572977146 4957176269570 8143932442865 11401505420011 16287864885730 22803010840022 57007527100055 114015054200110