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34444311044 = 221113192166807
BaseRepresentation
bin100000000101000010…
…100111101000000100
310021220111001021222212
4200011002213220010
51031020220423134
623453513042552
72326363545623
oct400502475004
9107814037885
1034444311044
1113675a08770
1268133b6458
13332c070c50
14194a7b96ba
15d68db6bce
hex8050a7a04

34444311044 has 72 divisors (see below), whose sum is σ = 74739325248. Its totient is φ = 13691436480.

The previous prime is 34444311029. The next prime is 34444311053. The reversal of 34444311044 is 44011344443.

It is a self number, because there is not a number n which added to its sum of digits gives 34444311044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123089 + ... + 289895.

It is an arithmetic number, because the mean of its divisors is an integer number (1038046184).

Almost surely, 234444311044 is an apocalyptic number.

It is an amenable number.

34444311044 is an abundant number, since it is smaller than the sum of its proper divisors (40295014204).

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

34444311044 is a wasteful number, since it uses less digits than its factorization.

34444311044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166873 (or 166852 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34444311044 its reverse (44011344443), we get a palindrome (78455655487).

The spelling of 34444311044 in words is "thirty-four billion, four hundred forty-four million, three hundred eleven thousand, forty-four".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 76 143 209 247 286 361 418 494 572 722 836 988 1444 2717 3971 4693 5434 7942 9386 10868 15884 18772 51623 103246 166807 206492 333614 667228 1834877 2168491 3169333 3669754 4336982 6338666 7339508 8673964 12677332 23853401 34862663 41201329 47706802 60217327 69725326 82402658 95413604 120434654 139450652 164805316 240869308 453214619 662390597 782825251 906429238 1324781194 1565650502 1812858476 2649562388 3131301004 8611077761 17222155522 34444311044