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133025504234144 = 2517253081966221
BaseRepresentation
bin11110001111110001101001…
…111011010000101010100000
3122110000010002002222220020112
4132033301221323100222200
5114413442213040443034
61150531023433430452
740006530001320404
oct3617615173205240
9573003062886215
10133025504234144
1139427888199565
1212b0529826b428
13592c335c269a2
1424bc67c3b7104
15105a472db27ce
hex78fc69ed0aa0

133025504234144 has 48 divisors (see below), whose sum is σ = 277300871295336. Its totient is φ = 62599925145600.

The previous prime is 133025504234143. The next prime is 133025504234149. The reversal of 133025504234144 is 441432405520331.

It can be written as a sum of positive squares in 4 ways, for example, as 60226726105744 + 72798778128400 = 7760588^2 + 8532220^2 .

It is not an unprimeable number, because it can be changed into a prime (133025504234143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137192954 + ... + 138159174.

Almost surely, 2133025504234144 is an apocalyptic number.

It is an amenable number.

133025504234144 is an abundant number, since it is smaller than the sum of its proper divisors (144275367061192).

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

133025504234144 is a wasteful number, since it uses less digits than its factorization.

133025504234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219329 (or 1219321 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 133025504234144 its reverse (441432405520331), we get a palindrome (574457909754475).

The spelling of 133025504234144 in words is "one hundred thirty-three trillion, twenty-five billion, five hundred four million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 253081 506162 966221 1012324 1932442 2024648 3864884 4049296 4302377 7729768 8098592 8604754 15459536 16425757 17209508 30919072 32851514 34419016 65703028 68838032 131406056 137676064 262812112 525624224 244532176901 489064353802 978128707604 1956257415208 3912514830416 4157047007317 7825029660832 8314094014634 16628188029268 33256376058536 66512752117072 133025504234144