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14003882244 = 22321141632
BaseRepresentation
bin11010000101011001…
…00100100100000100
31100010221202221000100
431002230210210010
5212134443212434
610233331444100
71004013015012
oct150254444404
940127687010
1014003882244
115a36910000
122869a56630
13142236ac71
1496bc078b2
1556e64d699
hex342b24904

14003882244 has 135 divisors (see below), whose sum is σ = 39178681815. Its totient is φ = 4217566320.

The previous prime is 14003882237. The next prime is 14003882251. The reversal of 14003882244 is 44228830041.

The square root of 14003882244 is 118338.

It is a perfect power (a square), and thus also a powerful number.

14003882244 is a `hidden beast` number, since 1 + 400 + 3 + 8 + 8 + 2 + 244 = 666.

It is an interprime number because it is at equal distance from previous prime (14003882237) and next prime (14003882251).

It is a super-2 number, since 2×140038822442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14003882199 and 14003882208.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 85913307 + ... + 85913469.

Almost surely, 214003882244 is an apocalyptic number.

14003882244 is the 118338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14003882244

14003882244 is an abundant number, since it is smaller than the sum of its proper divisors (25174799571).

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

14003882244 is an equidigital number, since it uses as much as digits as its factorization.

14003882244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Multiplying 14003882244 by its sum of digits (36), we get a square (504139760784 = 7100282).

14003882244 divided by its sum of digits (36) gives a square (388996729 = 197232).

The spelling of 14003882244 in words is "fourteen billion, three million, eight hundred eighty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 163 198 242 326 363 396 484 489 652 726 978 1089 1331 1452 1467 1793 1956 2178 2662 2934 3586 3993 4356 5324 5379 5868 7172 7986 10758 11979 14641 15972 16137 19723 21516 23958 26569 29282 32274 39446 43923 47916 53138 58564 59169 64548 78892 79707 87846 106276 118338 131769 159414 175692 177507 216953 236676 239121 263538 292259 318828 355014 433906 478242 527076 584518 650859 710028 867812 876777 956484 1169036 1301718 1753554 1952577 2386483 2603436 2630331 3214849 3507108 3905154 4772966 5260662 6429698 7159449 7810308 9545932 9644547 10521324 12859396 14318898 19289094 21478347 28637796 28933641 35363339 38578188 42956694 57867282 70726678 85913388 106090017 115734564 141453356 212180034 318270051 388996729 424360068 636540102 777993458 1166990187 1273080204 1555986916 2333980374 3500970561 4667960748 7001941122 14003882244