Search a number
-
+
351143233542420 = 2235112323131965319
BaseRepresentation
bin100111111010111001110011…
…1101100110101100100010100
31201001021222001200201010112120
41033311303213230311210110
5332011112320241324140
63242452550300015540
7133651155446041014
oct11765634754654424
91631258050633476
10351143233542420
11a198101105a950
1233471ab25315b0
13120c1884869607
14629d5cd311c44
152a8e09477d1d0
hex13f5ce7b35914

351143233542420 has 96 divisors (see below), whose sum is σ = 1119217010042880. Its totient is φ = 81424517919360.

The previous prime is 351143233542401. The next prime is 351143233542449. The reversal of 351143233542420 is 24245332341153.

It is a super-3 number, since 3×3511432335424203 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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, 11565967480 + ... + 11565997839.

It is an arithmetic number, because the mean of its divisors is an integer number (11658510521280).

Almost surely, 2351143233542420 is an apocalyptic number.

351143233542420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351143233542420 is an abundant number, since it is smaller than the sum of its proper divisors (768073776500460).

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

351143233542420 is a wasteful number, since it uses less digits than its factorization.

351143233542420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23131965365 (or 23131965363 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 351143233542420 its reverse (24245332341153), we get a palindrome (375388565883573).

The spelling of 351143233542420 in words is "three hundred fifty-one trillion, one hundred forty-three billion, two hundred thirty-three million, five hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 23131965319 46263930638 69395895957 92527861276 115659826595 138791791914 231319653190 254451618509 277583583828 346979479785 462639306380 508903237018 532035202337 693958959570 763354855527 1017806474036 1064070404674 1272258092545 1387917919140 1526709711054 1596105607011 2128140809348 2544516185090 2660176011685 3053419422108 3192211214022 3816774277635 5089032370180 5320352023370 5852387225707 6384422428044 7633548555270 7980528035055 10640704046740 11704774451414 15267097110540 15961056070110 17557161677121 23409548902828 29261936128535 31922112140220 35114323354242 58523872257070 70228646708484 87785808385605 117047744514140 175571616771210 351143233542420