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32443133220030 = 235131912734474729
BaseRepresentation
bin1110110000001110000010…
…11011100101010010111110
311020212112101201212120210210
413120013001123211102332
513223022014101020110
6153000100351013250
76555640041203331
oct730070133452276
9136775351776723
1032443133220030
11a379067a03915
12377b84380a226
1315144b3550a50
14802382770618
153b3dc1293520
hex1d81c16e54be

32443133220030 has 128 divisors (see below), whose sum is σ = 88961351270400. Its totient is φ = 7506113577984.

The previous prime is 32443133219977. The next prime is 32443133220079. The reversal of 32443133220030 is 3002233134423.

It is a super-2 number, since 2×324431332200302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 32443133220030.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16296295 + ... + 18178434.

It is an arithmetic number, because the mean of its divisors is an integer number (695010556800).

Almost surely, 232443133220030 is an apocalyptic number.

32443133220030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32443133220030 is an abundant number, since it is smaller than the sum of its proper divisors (56518218050370).

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

32443133220030 is a wasteful number, since it uses less digits than its factorization.

32443133220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34474898.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 32443133220030 its reverse (3002233134423), we get a palindrome (35445366354453).

The spelling of 32443133220030 in words is "thirty-two trillion, four hundred forty-three billion, one hundred thirty-three million, two hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 127 130 190 195 247 254 285 381 390 494 570 635 741 762 1235 1270 1482 1651 1905 2413 2470 3302 3705 3810 4826 4953 7239 7410 8255 9906 12065 14478 16510 24130 24765 31369 36195 49530 62738 72390 94107 156845 188214 313690 470535 941070 34474729 68949458 103424187 172373645 206848374 344747290 448171477 517120935 655019851 896342954 1034241870 1310039702 1344514431 1965059553 2240857385 2689028862 3275099255 3930119106 4378290583 4481714770 6550198510 6722572155 8515258063 8756581166 9825297765 13134871749 13445144310 17030516126 19650595530 21891452915 25545774189 26269743498 42576290315 43782905830 51091548378 56917777579 65674358745 83187521077 85152580630 113835555158 127728870945 131348717490 166375042154 170753332737 249562563231 255457741890 284588887895 341506665474 415937605385 499125126462 569177775790 831875210770 853766663685 1081437774001 1247812816155 1707533327370 2162875548002 2495625632310 3244313322003 5407188870005 6488626644006 10814377740010 16221566610015 32443133220030