Search a number
-
+
142321023215235 = 32510182946578111
BaseRepresentation
bin100000010111000010110010…
…000010000110011010000011
3200122220202102210220101222200
4200113002302002012122003
5122123241423420341420
61222405213033404243
741656232426064264
oct4027026202063203
9618822383811880
10142321023215235
1141391009338077
1213b66926869683
136154a794561a7
14272053503696b
15116c16a65db90
hex8170b2086683

142321023215235 has 96 divisors (see below), whose sum is σ = 249517087822080. Its totient is φ = 75036989952000.

The previous prime is 142321023215227. The next prime is 142321023215257. The reversal of 142321023215235 is 532512320123241.

142321023215235 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 102 + 3 + 21 + 523 + 5 = 666.

It is not a de Polignac number, because 142321023215235 - 23 = 142321023215227 is a prime.

It is a super-2 number, since 2×1423210232152352 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142321023215235.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17546663830 + ... + 17546671940.

It is an arithmetic number, because the mean of its divisors is an integer number (2599136331480).

Almost surely, 2142321023215235 is an apocalyptic number.

142321023215235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142321023215235 is a deficient number, since it is larger than the sum of its proper divisors (107196064606845).

142321023215235 is a wasteful number, since it uses less digits than its factorization.

142321023215235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13709 (or 13706 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 142321023215235 its reverse (532512320123241), we get a palindrome (674833343338476).

The spelling of 142321023215235 in words is "one hundred forty-two trillion, three hundred twenty-one billion, twenty-three million, two hundred fifteen thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 45 101 303 505 829 909 1515 2487 4145 4545 4657 7461 8111 12435 13971 23285 24333 37305 40555 41913 69855 72999 83729 121665 209565 251187 364995 418645 470357 753561 819211 1255935 1411071 2351785 2457633 3767805 3860653 4096055 4233213 6724019 7055355 7372899 11581959 12288165 19303265 20172057 21166065 33620095 34745877 36864495 37772927 57909795 60516171 100860285 113318781 173729385 188864635 302580855 339956343 389925953 566593905 679125919 1169777859 1699781715 1949629765 2037377757 3395629595 3509333577 3815065627 5848889295 6112133271 10186888785 11445196881 17546667885 19075328135 30560666355 31313756483 34335590643 57225984405 93941269449 156568782415 171677953215 281823808347 469706347245 1409119041735 3162689404783 9488068214349 15813447023915 28464204643047 47440341071745 142321023215235