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14490224190 = 2335136016869
BaseRepresentation
bin11010111111010111…
…10100011000111110
31101101211220122202000
431133223310120332
5214133444133230
610353503443130
71022036605401
oct153753643076
941354818660
1014490224190
1161663989a2
1229848b64a6
13149c050470
149b6645d38
1559c1b9b60
hex35faf463e

14490224190 has 128 divisors (see below), whose sum is σ = 41688259200. Its totient is φ = 3560371200.

The previous prime is 14490224149. The next prime is 14490224207. The reversal of 14490224190 is 9142209441.

14490224190 is a `hidden beast` number, since 1 + 449 + 0 + 2 + 24 + 190 = 666.

It is a super-2 number, since 2×144902241902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2106076 + ... + 2112944.

It is an arithmetic number, because the mean of its divisors is an integer number (325689525).

Almost surely, 214490224190 is an apocalyptic number.

14490224190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14490224190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20844129600).

14490224190 is an abundant number, since it is smaller than the sum of its proper divisors (27198035010).

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

14490224190 is a wasteful number, since it uses less digits than its factorization.

14490224190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7499 (or 7493 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14490224190 in words is "fourteen billion, four hundred ninety million, two hundred twenty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 601 702 1170 1202 1755 1803 3005 3510 3606 5409 6010 6869 7813 9015 10818 13738 15626 16227 18030 20607 23439 27045 32454 34345 39065 41214 46878 54090 61821 68690 70317 78130 81135 89297 103035 117195 123642 140634 162270 178594 185463 206070 210951 234390 267891 309105 351585 370926 421902 446485 535782 618210 703170 803673 892970 927315 1054755 1339455 1607346 1854630 2109510 2411019 2678910 4018365 4128269 4822038 8036730 8256538 12055095 12384807 20641345 24110190 24769614 37154421 41282690 53667497 61924035 74308842 107334994 111463263 123848070 161002491 185772105 222926526 268337485 322004982 371544210 483007473 536674970 557316315 805012455 966014946 1114632630 1449022419 1610024910 2415037365 2898044838 4830074730 7245112095 14490224190