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135044102466 = 23271387539419
BaseRepresentation
bin111110111000101000…
…0010111100101000010
3110220120110022012101200
41331301100113211002
54203032242234331
6142012143442030
712520342634310
oct1756120274502
9426513265350
10135044102466
11522a9969a59
1222209bb6316
13c971c05350
14677136b0b0
1537a5acc5e6
hex1f71417942

135044102466 has 96 divisors (see below), whose sum is σ = 360196986240. Its totient is φ = 35608177152.

The previous prime is 135044102437. The next prime is 135044102467. The reversal of 135044102466 is 664201440531.

135044102466 is a `hidden beast` number, since 1 + 3 + 50 + 44 + 102 + 466 = 666.

It is a super-2 number, since 2×1350441024662 (a number of 23 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 135044102466.

It is not an unprimeable number, because it can be changed into a prime (135044102467) 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, 14332705 + ... + 14342123.

It is an arithmetic number, because the mean of its divisors is an integer number (3752051940).

Almost surely, 2135044102466 is an apocalyptic number.

135044102466 is an abundant number, since it is smaller than the sum of its proper divisors (225152883774).

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

135044102466 is a wasteful number, since it uses less digits than its factorization.

135044102466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18200 (or 18197 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 135044102466 its reverse (664201440531), we get a palindrome (799245542997).

The spelling of 135044102466 in words is "one hundred thirty-five billion, forty-four million, one hundred two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 8753 9419 17506 18838 26259 28257 52518 56514 61271 65933 78777 84771 113789 122447 122542 131866 157554 169542 183813 197799 227578 244894 341367 367341 367626 395598 551439 593397 682734 734682 796523 857129 1024101 1102023 1102878 1186794 1593046 1714258 2048202 2204046 2389569 2571387 4779138 5142774 7168707 7714161 14337414 15428322 82444507 164889014 247333521 494667042 577111549 742000563 1071778591 1154223098 1484001126 1731334647 2143557182 3215335773 3462669294 5194003941 6430671546 7502450137 9646007319 10388007882 15004900274 19292014638 22507350411 45014700822 67522051233 135044102466