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34444644444 = 223575062411
BaseRepresentation
bin100000000101000011…
…111001000001011100
310021220111200020100000
4200011003321001130
51031020312110234
623453524134300
72326366434630
oct400503710134
9107814606300
1034444644444
1113676116201
126813537390
13332c159922
14194a864dc0
15d68e30899
hex8050f905c

34444644444 has 72 divisors (see below), whose sum is σ = 103192206208. Its totient is φ = 9841325040.

The previous prime is 34444644433. The next prime is 34444644463. The reversal of 34444644444 is 44444644443.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34444644444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2524402 + ... + 2538009.

Almost surely, 234444644444 is an apocalyptic number.

It is an amenable number.

34444644444 is an abundant number, since it is smaller than the sum of its proper divisors (68747561764).

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

34444644444 is a wasteful number, since it uses less digits than its factorization.

34444644444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062437 (or 5062423 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 45.

Subtracting 34444644444 from its reverse (44444644443), we obtain a palindrome (9999999999).

The spelling of 34444644444 in words is "thirty-four billion, four hundred forty-four million, six hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 5062411 10124822 15187233 20249644 30374466 35436877 45561699 60748932 70873754 91123398 106310631 136685097 141747508 182246796 212621262 273370194 318931893 410055291 425242524 546740388 637863786 820110582 956795679 1230165873 1275727572 1640221164 1913591358 2460331746 2870387037 3827182716 4920663492 5740774074 8611161111 11481548148 17222322222 34444644444