Search a number
-
+
233204315114442 = 23723432756599859
BaseRepresentation
bin110101000001100100011100…
…010111001100101111001010
31010120201010002200112022012110
4311001210130113030233022
5221031304414132130232
62143552330002123150
7100056312220051530
oct6501443427145712
91116633080468173
10233204315114442
1168340438292661
12221a46853504b6
13a0180c352c139
1441832130c8150
151be62a579dacc
hexd4191c5ccbca

233204315114442 has 128 divisors (see below), whose sum is σ = 556497314611200. Its totient is φ = 63700405788096.

The previous prime is 233204315114383. The next prime is 233204315114501. The reversal of 233204315114442 is 244411513402332.

It is an interprime number because it is at equal distance from previous prime (233204315114383) and next prime (233204315114501).

It is a super-3 number, since 3×2332043151144423 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 233204315114442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23653947309 + ... + 23653957167.

It is an arithmetic number, because the mean of its divisors is an integer number (4347635270400).

Almost surely, 2233204315114442 is an apocalyptic number.

233204315114442 is an abundant number, since it is smaller than the sum of its proper divisors (323292999496758).

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

233204315114442 is a wasteful number, since it uses less digits than its factorization.

233204315114442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19880.

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 233204315114442 its reverse (244411513402332), we get a palindrome (477615828516774).

The spelling of 233204315114442 in words is "two hundred thirty-three trillion, two hundred four billion, three hundred fifteen million, one hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 4327 5659 8654 9859 11318 12981 16977 19718 25962 29577 30289 33954 39613 59154 60578 69013 79226 90867 99521 118839 130157 138026 181734 199042 207039 226757 237678 260314 298563 390471 414078 453514 597126 680271 696647 780942 911099 1360542 1393294 1587299 1822198 2089941 2733297 3174598 4179882 4761897 5466594 9523794 24486493 42659893 48972986 55792081 73459479 85319786 111584162 127979679 146918958 167376243 171405451 255959358 298619251 334752486 342810902 390544567 514216353 563189339 597238502 781089134 895857753 981177539 1028432706 1126378678 1171633701 1283217863 1689568017 1791715506 1962355078 2343267402 2566435726 2943532617 3379136034 3849653589 3942325373 5887065234 6868242773 7699307178 7884650746 8982525041 11826976119 13736485546 17965050082 20604728319 23653952238 26947575123 41209456638 53895150246 241412334487 482824668974 724237003461 1448474006922 1689886341409 3379772682818 5069659024227 5552483693201 10139318048454 11104967386402 16657451079603 33314902159206 38867385852407 77734771704814 116602157557221 233204315114442