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133044055434 = 232373337433
BaseRepresentation
bin111101111101000001…
…0110010110110001010
3110201102001212021122200
41323322002302312022
54134433234233214
6141041455501030
712416645545353
oct1737202626612
9421361767580
10133044055434
11514729a0024
1221950227776
13c713742774
14662189cd2a
1536da20ad09
hex1efa0b2d8a

133044055434 has 96 divisors (see below), whose sum is σ = 297834635280. Its totient is φ = 42922027008.

The previous prime is 133044055399. The next prime is 133044055439. The reversal of 133044055434 is 434550440331.

133044055434 is a `hidden beast` number, since 1 + 3 + 30 + 4 + 40 + 554 + 34 = 666.

133044055434 is digitally balanced in base 3, because in such base 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 59655620025 + 73388435409 = 244245^2 + 270903^2 .

It is not an unprimeable number, because it can be changed into a prime (133044055439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307260882 + ... + 307261314.

Almost surely, 2133044055434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133044055434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148917317640).

133044055434 is an abundant number, since it is smaller than the sum of its proper divisors (164790579846).

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

133044055434 is an equidigital number, since it uses as much as digits as its factorization.

133044055434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 133044055434 its reverse (434550440331), we get a palindrome (567594495765).

The spelling of 133044055434 in words is "one hundred thirty-three billion, forty-four million, fifty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 337 433 666 674 866 1011 1299 1369 2022 2598 2738 3033 3897 4107 6066 7794 8214 12321 12469 16021 24642 24938 32042 37407 48063 50653 74814 96126 101306 112221 144189 145921 151959 224442 288378 291842 303918 437763 455877 461353 592777 875526 911754 922706 1185554 1313289 1384059 1778331 2626578 2768118 3556662 4152177 5334993 5399077 8304354 10669986 10798154 16197231 17070061 21932749 32394462 34140122 43865498 48591693 51210183 65798247 97183386 102420366 131596494 153630549 197394741 199765849 307261098 394789482 399531698 599297547 1198595094 1797892641 3595785282 7391336413 14782672826 22174009239 44348018478 66522027717 133044055434