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343141130201034 = 2311233374391527941
BaseRepresentation
bin100111000000101011100010…
…1001011000110011111001010
31122222221222020100111220201110
41032001113011023012133022
5324434011013312413114
63213444505314031150
7132164062042650024
oct11601270513063712
91588858210456643
10343141130201034
119a376377367150
123259b0722784b6
13119610ba287769
1460a4195597014
1529a0d4cd40759
hex13815c52c67ca

343141130201034 has 128 divisors (see below), whose sum is σ = 785326006333440. Its totient is φ = 98940104524800.

The previous prime is 343141130201027. The next prime is 343141130201047. The reversal of 343141130201034 is 430102031141343.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 343141130200992 and 343141130201010.

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, 223813504 + ... + 225341444.

It is an arithmetic number, because the mean of its divisors is an integer number (6135359424480).

Almost surely, 2343141130201034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343141130201034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392663003166720).

343141130201034 is an abundant number, since it is smaller than the sum of its proper divisors (442184876132406).

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

343141130201034 is a wasteful number, since it uses less digits than its factorization.

343141130201034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528756.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 343141130201034 its reverse (430102031141343), we get a palindrome (773243161342377).

The spelling of 343141130201034 in words is "three hundred forty-three trillion, one hundred forty-one billion, one hundred thirty million, two hundred one thousand, thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 337 439 506 674 759 878 1011 1317 1518 2022 2634 3707 4829 7414 7751 9658 10097 11121 14487 15502 20194 22242 23253 28974 30291 46506 60582 85261 111067 147943 170522 222134 255783 295886 333201 443829 511566 666402 887658 1527941 1627373 3055882 3254746 3402689 4583823 4882119 6805378 9167646 9764238 10208067 16807351 20416134 33614702 35142643 37429579 50422053 70285286 74859158 100844106 105427929 112288737 210855858 224577474 386569073 514916117 670766099 773138146 1029832234 1159707219 1341532198 1544748351 2012298297 2319414438 3089496702 4024596594 5664077287 7378427089 11328154574 11843070691 14756854178 15427620277 16992231861 22135281267 23686141382 30855240554 33984463722 35529212073 44270562534 46282860831 71058424146 92565721662 130273777601 169703823047 226048175363 260547555202 339407646094 390821332803 452096350726 509111469141 678144526089 781642665606 1018222938282 1356289052178 2486529928993 4973059857986 5199108033349 7459589786979 10398216066698 14919179573958 15597324100047 31194648200094 57190188366839 114380376733678 171570565100517 343141130201034