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133212340421442 = 23226951577533413
BaseRepresentation
bin11110010010011111101010…
…001110110000001101000010
3122110122222100001020121111100
4132102133222032300031002
5114430022333121441232
61151152523201355230
740026162656600622
oct3622375216601502
9573588301217440
10133212340421442
113949a044369407
1212b3553b338b16
135943b3cc4a179
1424c772408a882
15106025a827c7c
hex7927ea3b0342

133212340421442 has 48 divisors (see below), whose sum is σ = 289705859384760. Its totient is φ = 44238101757696.

The previous prime is 133212340421431. The next prime is 133212340421467. The reversal of 133212340421442 is 244124043212331.

133212340421442 is a `hidden beast` number, since 1 + 3 + 32 + 1 + 2 + 3 + 404 + 214 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99896806635921 + 33315533785521 = 9994839^2 + 5771961^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133212340421397 and 133212340421406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249469128 + ... + 250002540.

Almost surely, 2133212340421442 is an apocalyptic number.

133212340421442 is an abundant number, since it is smaller than the sum of its proper divisors (156493518963318).

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

133212340421442 is a wasteful number, since it uses less digits than its factorization.

133212340421442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585267 (or 585264 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 133212340421442 its reverse (244124043212331), we get a palindrome (377336383633773).

The spelling of 133212340421442 in words is "one hundred thirty-three trillion, two hundred twelve billion, three hundred forty million, four hundred twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 269 538 807 1614 2421 4842 51577 103154 154731 309462 464193 533413 928386 1066826 1600239 3200478 4800717 9601434 13874213 27748426 41622639 83245278 124867917 143488097 249735834 286976194 430464291 860928582 1291392873 2582785746 27511842301 55023684602 82535526903 165071053806 247606580709 495213161418 7400685578969 14801371157938 22202056736907 44404113473814 66606170210721 133212340421442