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2334400040420 = 2257591447195311
BaseRepresentation
bin100001111110000101000…
…101011100110111100100
322021011111100111222211022
4201332011011130313210
5301221322402243140
64544224130230312
7330440415643430
oct41760505346744
98234440458738
102334400040420
11820016a68658
12318509a25398
1313c196203586
1480db25659c0
1540aca70b0b5
hex21f8515cde4

2334400040420 has 96 divisors (see below), whose sum is σ = 5701485404160. Its totient is φ = 786252435840.

The previous prime is 2334400040417. The next prime is 2334400040431. The reversal of 2334400040420 is 240400044332.

2334400040420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2334400040420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11854565 + ... + 12049875.

It is an arithmetic number, because the mean of its divisors is an integer number (59390472960).

Almost surely, 22334400040420 is an apocalyptic number.

2334400040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334400040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850742702080).

2334400040420 is an abundant number, since it is smaller than the sum of its proper divisors (3367085363740).

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

2334400040420 is a wasteful number, since it uses less digits than its factorization.

2334400040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196833 (or 196831 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 2334400040420 its reverse (240400044332), we get a palindrome (2574800084752).

The spelling of 2334400040420 in words is "two trillion, three hundred thirty-four billion, four hundred million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1447 1652 2065 2894 4130 5788 7235 8260 10129 14470 20258 28940 40516 50645 85373 101290 170746 195311 202580 341492 390622 426865 597611 781244 853730 976555 1195222 1367177 1707460 1953110 2390444 2734354 2988055 3906220 5468708 5976110 6835885 11523349 11952220 13671770 23046698 27343540 46093396 57616745 80663443 115233490 161326886 230466980 282615017 322653772 403317215 565230034 806634430 1130460068 1413075085 1613268860 1978305119 2826150170 3956610238 5652300340 7913220476 9891525595 16674286003 19783051190 33348572006 39566102380 66697144012 83371430015 116720002021 166742860030 233440004042 333485720060 466880008084 583600010105 1167200020210 2334400040420