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142332601031226 = 23237734097157873
BaseRepresentation
bin100000010111001101100100…
…000111111101101000111010
3200122221212022200121101202100
4200113031210013331220322
5122123434131330444401
61222414405542244230
741660122352642664
oct4027154407755072
9618855280541670
10142332601031226
1141395a0a751641
1213b69018126676
136155ba2cacb98
142720d12957534
15116c5e6cd7b86
hex8173641fda3a

142332601031226 has 96 divisors (see below), whose sum is σ = 321845787591120. Its totient is φ = 45418243940352.

The previous prime is 142332601031167. The next prime is 142332601031249. The reversal of 142332601031226 is 622130106233241.

142332601031226 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 32 + 601 + 0 + 3 + 12 + 2 + 6 = 666.

142332601031226 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 126575662842225 + 15756938189001 = 11250585^2 + 3969501^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16305826 + ... + 23463698.

Almost surely, 2142332601031226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142332601031226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160922893795560).

142332601031226 is an abundant number, since it is smaller than the sum of its proper divisors (179513186559894).

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

142332601031226 is a wasteful number, since it uses less digits than its factorization.

142332601031226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158400 (or 7158397 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 142332601031226 its reverse (622130106233241), we get a palindrome (764462707264467).

The spelling of 142332601031226 in words is "one hundred forty-two trillion, three hundred thirty-two billion, six hundred one million, thirty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 73 74 111 146 219 222 333 409 438 657 666 818 1227 1314 2454 2701 3681 5402 7362 8103 15133 16206 24309 29857 30266 45399 48618 59714 89571 90798 136197 179142 268713 272394 537426 1104709 2209418 3314127 6628254 7157873 9942381 14315746 19884762 21473619 42947238 64420857 128841714 264841301 522524729 529682602 794523903 1045049458 1567574187 1589047806 2383571709 2927570057 3135148374 4702722561 4767143418 5855140114 8782710171 9405445122 17565420342 19333414973 26348130513 38666829946 52696261026 58000244919 108320092109 116000489838 174000734757 213712614161 216640184218 324960276327 348001469514 427425228322 641137842483 649920552654 974880828981 1282275684966 1923413527449 1949761657962 3846827054898 7907366723957 15814733447914 23722100171871 47444200343742 71166300515613 142332601031226