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132213412040444 = 22771499700119037
BaseRepresentation
bin11110000011111101010101…
…011101011000111011111100
3122100010110221000021001220222
4132003331111131120323330
5114312141031440243234
61145110000351400512
736564050413501340
oct3603752535307374
9570113830231828
10132213412040444
1139144436333759
12129b3a18223138
1358a08959a6217
1424912400b5620
1510442931dd42e
hex783f55758efc

132213412040444 has 96 divisors (see below), whose sum is σ = 268741017216000. Its totient is φ = 55741976640000.

The previous prime is 132213412040441. The next prime is 132213412040453. The reversal of 132213412040444 is 444040214312231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213412040441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6945066494 + ... + 6945085530.

It is an arithmetic number, because the mean of its divisors is an integer number (2799385596000).

Almost surely, 2132213412040444 is an apocalyptic number.

132213412040444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132213412040444 is an abundant number, since it is smaller than the sum of its proper divisors (136527605175556).

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

132213412040444 is a wasteful number, since it uses less digits than its factorization.

132213412040444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26619 (or 26617 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 132213412040444 its reverse (444040214312231), we get a palindrome (576253626352675).

The spelling of 132213412040444 in words is "one hundred thirty-two trillion, two hundred thirteen billion, four hundred twelve million, forty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 71 142 284 497 499 994 998 1988 1996 3493 6986 7001 13972 14002 19037 28004 35429 38074 49007 70858 76148 98014 133259 141716 196028 248003 266518 496006 497071 533036 992012 994142 1351627 1988284 2703254 3479497 3493499 5406508 6958994 6986998 9461389 9499463 13917988 13973996 18922778 18998926 24454493 37845556 37997852 48908986 66496241 97817972 132992482 133278037 248038429 265984964 266556074 496076858 533112148 674461873 932946259 992153716 1348923746 1736269003 1865892518 2697847492 3472538006 3731785036 4721233111 6945076012 9442466222 9462740627 18884932444 18925481254 37850962508 66239184389 66505740463 132478368778 133011480926 264956737556 266022961852 465540183241 931080366482 1862160732964 4721907572873 9443815145746 18887630291492 33053353010111 66106706020222 132213412040444