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114005243602110 = 23573791443199259
BaseRepresentation
bin11001111010111111101010…
…000011000010010010111110
3112221122210110110000001212210
4121322333222003002102332
5104420330214330231420
61042245141430241250
733004415133434460
oct3172775203022276
9487583413001783
10114005243602110
11333643969a2723
1210952b914b6226
134b7c85753b023
142021c51834130
15d2a810be29e0
hex67afea0c24be

114005243602110 has 128 divisors (see below), whose sum is σ = 313550047641600. Its totient is φ = 25987523103360.

The previous prime is 114005243602043. The next prime is 114005243602123. The reversal of 114005243602110 is 11206342500411.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1148513661 + ... + 1148612919.

It is an arithmetic number, because the mean of its divisors is an integer number (2449609747200).

Almost surely, 2114005243602110 is an apocalyptic number.

114005243602110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114005243602110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156775023820800).

114005243602110 is an abundant number, since it is smaller than the sum of its proper divisors (199544804039490).

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

114005243602110 is a wasteful number, since it uses less digits than its factorization.

114005243602110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114086.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 114005243602110 in words is "one hundred fourteen trillion, five billion, two hundred forty-three million, six hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 379 758 1137 1895 2274 2653 3790 5306 5685 7959 11370 13265 14431 15918 26530 28862 39795 43293 72155 79590 86586 99259 101017 144310 198518 202034 216465 297777 303051 432930 496295 505085 595554 606102 694813 992590 1010170 1389626 1488885 1515255 2084439 2977770 3030510 3474065 4168878 5469349 6948130 10422195 10938698 16408047 20844390 27346745 32816094 37619161 38285443 54693490 75238322 76570886 82040235 112857483 114856329 164080470 188095805 191427215 225714966 229712658 263334127 376191610 382854430 526668254 564287415 574281645 790002381 1128574830 1148563290 1316670635 1432406629 1580004762 2633341270 2864813258 3950011905 4297219887 7162033145 7900023810 8594439774 10026846403 14324066290 20053692806 21486099435 30080539209 42972198870 50134232015 60161078418 100268464030 150402696045 300805392090 542882112391 1085764224782 1628646337173 2714410561955 3257292674346 3800174786737 5428821123910 7600349573474 8143231685865 11400524360211 16286463371730 19000873933685 22801048720422 38001747867370 57002621801055 114005243602110