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132134301421434 = 232138318313715637
BaseRepresentation
bin11110000010110011101010…
…000110010100111101111010
3122022211220201122200020021200
4132002303222012110331322
5114304342022130441214
61145005354324315030
736555250111360254
oct3602635206247572
9568756648606250
10132134301421434
113911392a466794
12129a061a242a76
135896298bba560
14248b4974d0cd4
1510421b2d4ed09
hex782cea194f7a

132134301421434 has 96 divisors (see below), whose sum is σ = 312198486897024. Its totient is φ = 40144920347520.

The previous prime is 132134301421429. The next prime is 132134301421469. The reversal of 132134301421434 is 434124103431231.

132134301421434 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 430 + 1 + 4 + 214 + 3 + 4 = 666.

It is a super-2 number, since 2×1321343014214342 (a number of 29 digits) contains 22 as substring.

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, 33703864 + ... + 37419500.

It is an arithmetic number, because the mean of its divisors is an integer number (3252067571844).

Almost surely, 2132134301421434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132134301421434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156099243448512).

132134301421434 is an abundant number, since it is smaller than the sum of its proper divisors (180064185475590).

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

132134301421434 is a wasteful number, since it uses less digits than its factorization.

132134301421434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717572 (or 3717569 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 132134301421434 its reverse (434124103431231), we get a palindrome (566258404852665).

The spelling of 132134301421434 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, three hundred one million, four hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 83 117 166 234 249 498 747 1079 1494 1831 2158 3237 3662 5493 6474 9711 10986 16479 19422 23803 32958 47606 71409 142818 151973 214227 303946 428454 455919 911838 1367757 1975649 2735514 3715637 3951298 5926947 7431274 11146911 11853894 17780841 22293822 33440733 35561682 48303281 66881466 96606562 144909843 289819686 308397871 434729529 616795742 869459058 925193613 1850387226 2775580839 4009172323 5551161678 6803331347 8018344646 12027516969 13606662694 20409994041 24055033938 36082550907 40819988082 61229982123 72165101814 88443307511 122459964246 176886615022 265329922533 530659845066 564676501801 795989767599 1129353003602 1591979535198 1694029505403 3388059010806 5082088516209 7340794523413 10164177032418 14681589046826 22022383570239 44044767140478 66067150710717 132134301421434