Search a number
-
+
142132420002312 = 233216335509341063
BaseRepresentation
bin100000010100010011001000…
…011001111100001000001000
3200122020201121201200111021100
4200110103020121330020020
5122112144144010033222
61222142422104141400
741636504603163615
oct4024231031741010
9618221551614240
10142132420002312
1141319025785773
1213b3626ba67860
13614005031970c
1427153627d150c
1511672cca054ac
hex8144c867c208

142132420002312 has 96 divisors (see below), whose sum is σ = 387315620827200. Its totient is φ = 47085349880448.

The previous prime is 142132420002299. The next prime is 142132420002329. The reversal of 142132420002312 is 213200024231241.

142132420002312 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 3 + 2 + 420 + 0 + 0 + 231 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416563093 + ... + 416904155.

It is an arithmetic number, because the mean of its divisors is an integer number (4034537716950).

Almost surely, 2142132420002312 is an apocalyptic number.

142132420002312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142132420002312 is an abundant number, since it is smaller than the sum of its proper divisors (245183200824888).

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

142132420002312 is a wasteful number, since it uses less digits than its factorization.

142132420002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376747 (or 376740 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 142132420002312 its reverse (213200024231241), we get a palindrome (355332444233553).

The spelling of 142132420002312 in words is "one hundred forty-two trillion, one hundred thirty-two billion, four hundred twenty million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3912 5868 11736 35509 71018 106527 142036 213054 284072 319581 341063 426108 639162 682126 852216 1023189 1278324 1364252 2046378 2556648 2728504 3069567 4092756 5787967 6139134 8185512 11575934 12278268 17363901 23151868 24556536 34727802 46303736 52091703 55593269 69455604 104183406 111186538 138911208 166779807 208366812 222373076 333559614 416733624 444746152 500339421 667119228 1000678842 1334238456 2001357684 4002715368 12110806067 24221612134 36332418201 48443224268 72664836402 96886448536 108997254603 145329672804 217994509206 290659345608 435989018412 871978036824 1974061388921 3948122777842 5922184166763 7896245555684 11844368333526 15792491111368 17766552500289 23688736667052 35533105000578 47377473334104 71066210001156 142132420002312