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3221113040432 = 247315325768111
BaseRepresentation
bin101110110111111001010…
…011000110111000110000
3102101221020220110112121222
4232313321103012320300
5410233314414243212
610503431531204212
7451501120042610
oct56677123067060
912357226415558
103221113040432
111032080378721
124403342a6668
131a4998cc20c1
14b1c8d034a40
1558bc64e3c72
hex2edf94c6e30

3221113040432 has 160 divisors (see below), whose sum is σ = 7530759143424. Its totient is φ = 1305619660800.

The previous prime is 3221113040359. The next prime is 3221113040477. The reversal of 3221113040432 is 2340403111223.

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 31 ways as a sum of consecutive naturals, for example, 47258057 + ... + 47326167.

Almost surely, 23221113040432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221113040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765379571712).

3221113040432 is an abundant number, since it is smaller than the sum of its proper divisors (4309646102992).

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

3221113040432 is a wasteful number, since it uses less digits than its factorization.

3221113040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68467 (or 68461 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 3221113040432 its reverse (2340403111223), we get a palindrome (5561516151655).

The spelling of 3221113040432 in words is "three trillion, two hundred twenty-one billion, one hundred thirteen million, forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 53 56 62 106 112 124 212 217 248 257 371 424 434 496 514 742 848 868 1028 1484 1643 1736 1799 2056 2968 3286 3472 3598 4112 5936 6572 7196 7967 11501 13144 13621 14392 15934 23002 26288 27242 28784 31868 46004 54484 55769 63736 68111 92008 95347 108968 111538 127472 136222 184016 190694 217936 223076 272444 381388 422251 446152 476777 544888 762776 844502 892304 953554 1089776 1525552 1689004 1907108 2111441 2955757 3378008 3609883 3814216 4222882 5911514 6756016 7219766 7628432 8445764 11823028 14439532 14780087 16891528 17504527 23646056 25269181 28879064 29560174 33783056 35009054 47292112 50538362 57758128 59120348 70018108 101076724 111906373 118240696 122531689 140036216 202153448 223812746 236481392 245063378 280072432 404306896 447625492 490126756 542640337 783344611 895250984 927739931 980253512 1085280674 1566689222 1790501968 1855479862 1960507024 2170561348 3133378444 3710959724 3798482359 4341122696 6266756888 6494179517 7421919448 7596964718 8682245392 12533513776 12988359034 14843838896 15193929436 25976718068 28759937861 30387858872 51953436136 57519875722 60775717744 103906872272 115039751444 201319565027 230079502888 402639130054 460159005776 805278260108 1610556520216 3221113040432