Search a number
-
+
363221404163340 = 223531353955179521
BaseRepresentation
bin101001010010110010001001…
…0110001010001110100001100
31202122001121221011121020000020
41102211210102301101310030
5340102004413431211330
63324301335353502140
7136335610666266312
oct12245442261216414
91678047834536006
10363221404163340
11a5808372540198
12348a28a9411950
1312789829385778
14659a01cb060b2
152bed35025e210
hex14a5912c51d0c

363221404163340 has 96 divisors (see below), whose sum is σ = 1050123690362880. Its totient is φ = 93708068044800.

The previous prime is 363221404163339. The next prime is 363221404163341. The reversal of 363221404163340 is 43361404122363.

It is an interprime number because it is at equal distance from previous prime (363221404163339) and next prime (363221404163341).

It is a junction number, because it is equal to n+sod(n) for n = 363221404163292 and 363221404163301.

It is not an unprimeable number, because it can be changed into a prime (363221404163341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21007221 + ... + 34172300.

It is an arithmetic number, because the mean of its divisors is an integer number (10938788441280).

Almost surely, 2363221404163340 is an apocalyptic number.

363221404163340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363221404163340 is an abundant number, since it is smaller than the sum of its proper divisors (686902286199540).

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

363221404163340 is a wasteful number, since it uses less digits than its factorization.

363221404163340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55183103 (or 55183101 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 363221404163340 in words is "three hundred sixty-three trillion, two hundred twenty-one billion, four hundred four million, one hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 3539 7078 10617 14156 17695 21234 35390 42468 53085 70780 106170 109709 212340 219418 329127 438836 548545 658254 1097090 1316508 1645635 2194180 3291270 6582540 55179521 110359042 165538563 220718084 275897605 331077126 551795210 662154252 827692815 1103590420 1655385630 1710565151 3310771260 3421130302 5131695453 6842260604 8552825755 10263390906 17105651510 20526781812 25658477265 34211303020 51316954530 102633909060 195280324819 390560649638 585840974457 781121299276 976401624095 1171681948914 1952803248190 2343363897828 2929204872285 3905606496380 5858409744570 6053690069389 11716819489140 12107380138778 18161070208167 24214760277556 30268450346945 36322140416334 60536900693890 72644280832668 90805351040835 121073801387780 181610702081670 363221404163340