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132044404142430 = 232513153077372997
BaseRepresentation
bin11110000001011111111011…
…110011011011000101011110
3122022112022200120002021212200
4132001133323303123011132
5114301403414430024210
61144500210053512330
736545615300200653
oct3601377363330536
9568468616067780
10132044404142430
113908979882548a
121298710b9426a6
13588a970452440
142486daa0d1c2a
15103eba0a140c0
hex7817fbcdb15e

132044404142430 has 96 divisors (see below), whose sum is σ = 369748535685984. Its totient is φ = 32501110111488.

The previous prime is 132044404142381. The next prime is 132044404142471. The reversal of 132044404142430 is 34241404440231.

132044404142430 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 4 + 404 + 1 + 4 + 243 + 0 = 666.

It is a super-3 number, since 3×1320444041424303 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14222692 + ... + 21595688.

It is an arithmetic number, because the mean of its divisors is an integer number (3851547246729).

Almost surely, 2132044404142430 is an apocalyptic number.

132044404142430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132044404142430 is an abundant number, since it is smaller than the sum of its proper divisors (237704131543554).

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

132044404142430 is a wasteful number, since it uses less digits than its factorization.

132044404142430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388330 (or 7388327 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 132044404142430 its reverse (34241404440231), we get a palindrome (166285808582661).

The spelling of 132044404142430 in words is "one hundred thirty-two trillion, forty-four billion, four hundred four million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 15307 30614 45921 76535 91842 137763 153070 198991 229605 275526 397982 459210 596973 688815 994955 1193946 1377630 1790919 1989910 2984865 3581838 5969730 7372997 8954595 14745994 17909190 22118991 36864985 44237982 66356973 73729970 95848961 110594955 132713946 191697922 221189910 287546883 331784865 479244805 575093766 663569730 862640649 958489610 1437734415 1725281298 2875468830 4313203245 8626406490 112858465079 225716930158 338575395237 564292325395 677150790474 1015726185711 1128584650790 1467160046027 1692876976185 2031452371422 2934320092054 3385753952370 4401480138081 5078630928555 7335800230135 8802960276162 10157261857110 13204440414243 14671600460270 22007400690405 26408880828486 44014801380810 66022202071215 132044404142430