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44222011314 = 2313331108217
BaseRepresentation
bin101001001011110101…
…100101011110110010
311020010220111221012220
4221023311211132302
51211031313330224
632152035101510
73123601615455
oct511365453662
9136126457186
1044222011314
1117833199698
1286a1a41896
134229997000
1421d71d349c
15123c4b3279
hexa4bd657b2

44222011314 has 64 divisors (see below), whose sum is σ = 98902594560. Its totient is φ = 13167722880.

The previous prime is 44222011313. The next prime is 44222011349. The reversal of 44222011314 is 41311022244.

It is not an unprimeable number, because it can be changed into a prime (44222011313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354534 + ... + 462750.

It is an arithmetic number, because the mean of its divisors is an integer number (1545353040).

Almost surely, 244222011314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44222011314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49451297280).

44222011314 is an abundant number, since it is smaller than the sum of its proper divisors (54680583246).

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

44222011314 is a wasteful number, since it uses less digits than its factorization.

44222011314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108292 (or 108266 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 44222011314 its reverse (41311022244), we get a palindrome (85533033558).

The spelling of 44222011314 in words is "forty-four billion, two hundred twenty-two million, eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 806 1014 1209 2197 2418 4394 5239 6591 10478 13182 15717 31434 68107 108217 136214 204321 216434 324651 408642 649302 1406821 2813642 3354727 4220463 6709454 8440926 10064181 18288673 20128362 36577346 43611451 54866019 87222902 109732038 130834353 237752749 261668706 475505498 566948863 713258247 1133897726 1426516494 1700846589 3401693178 7370335219 14740670438 22111005657 44222011314