Search a number
-
+
114542255501310 = 23571341956870147
BaseRepresentation
bin11010000010110011110010…
…011100110110111111111110
3120000120010120201122001220210
4122002303302130312333332
5110003130014402020220
61043335552531053250
733061255604321610
oct3202636234667776
9500503521561823
10114542255501310
113355110913586a
1210a1b081741226
134bbb399661c70
14203dc36438db0
15d39790d196e0
hex682cf2736ffe

114542255501310 has 64 divisors (see below), whose sum is σ = 338340200873472. Its totient is φ = 24167157204096.

The previous prime is 114542255501299. The next prime is 114542255501321. The reversal of 114542255501310 is 13105552245411.

It is an interprime number because it is at equal distance from previous prime (114542255501299) and next prime (114542255501321).

It is a super-2 number, since 2×1145422555013102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20978432344 + ... + 20978437803.

It is an arithmetic number, because the mean of its divisors is an integer number (5286565638648).

Almost surely, 2114542255501310 is an apocalyptic number.

114542255501310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114542255501310 is an abundant number, since it is smaller than the sum of its proper divisors (223797945372162).

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

114542255501310 is a wasteful number, since it uses less digits than its factorization.

114542255501310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41956870177.

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 114542255501310 in words is "one hundred fourteen trillion, five hundred forty-two billion, two hundred fifty-five million, five hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 41956870147 83913740294 125870610441 209784350735 251741220882 293698091029 419568701470 545439311911 587396182058 629353052205 881094273087 1090878623822 1258706104410 1468490455145 1636317935733 1762188546174 2727196559555 2936980910290 3272635871466 3818075183377 4405471365435 5454393119110 7636150366754 8181589678665 8810942730870 11454225550131 16363179357330 19090375916885 22908451100262 38180751833770 57271127750655 114542255501310