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44221574214 = 2333188329917
BaseRepresentation
bin101001001011110011…
…111010110001000110
311020010212200201122000
4221023303322301012
51211031210333324
632152021450130
73123565115226
oct511363726106
9136125621560
1044221574214
1117832a20254
1286a1870946
13422987307c
1421d711c086
15123c4289c9
hexa4bcfac46

44221574214 has 64 divisors (see below), whose sum is σ = 101558446080. Its totient is φ = 14248392480.

The previous prime is 44221574203. The next prime is 44221574281. The reversal of 44221574214 is 41247512244.

44221574214 is a `hidden beast` number, since 4 + 4 + 221 + 5 + 7 + 421 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1463184 + ... + 1493100.

It is an arithmetic number, because the mean of its divisors is an integer number (1586850720).

Almost surely, 244221574214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44221574214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50779223040).

44221574214 is an abundant number, since it is smaller than the sum of its proper divisors (57336871866).

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

44221574214 is a wasteful number, since it uses less digits than its factorization.

44221574214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30842 (or 30836 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The spelling of 44221574214 in words is "forty-four billion, two hundred twenty-one million, five hundred seventy-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 883 1674 1766 2649 5298 7947 15894 23841 27373 29917 47682 54746 59834 82119 89751 164238 179502 246357 269253 492714 538506 739071 807759 927427 1478142 1615518 1854854 2782281 5564562 8346843 16693686 25040529 26416711 50081058 52833422 79250133 158500266 237750399 475500798 713251197 818918041 1426502394 1637836082 2456754123 4913508246 7370262369 14740524738 22110787107 44221574214