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14011892244 = 223573166431
BaseRepresentation
bin11010000110010110…
…01000001000010100
31100011111211212200000
431003023020020110
5212144021022434
610234215251300
71004141055540
oct150313101024
940144755600
1014011892244
115a40391039
122870679b30
131423c13acc
1496ccd0a20
155701d1b99
hex3432c8214

14011892244 has 144 divisors (see below), whose sum is σ = 43332796416. Its totient is φ = 3874197600.

The previous prime is 14011892239. The next prime is 14011892273. The reversal of 14011892244 is 44229811041.

14011892244 is a `hidden beast` number, since 1 + 401 + 1 + 8 + 9 + 2 + 244 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 14011892199 and 14011892208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177709 + ... + 244139.

Almost surely, 214011892244 is an apocalyptic number.

14011892244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011892244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21666398208).

14011892244 is an abundant number, since it is smaller than the sum of its proper divisors (29320904172).

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

14011892244 is a wasteful number, since it uses less digits than its factorization.

14011892244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66488 (or 66474 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14011892244 in words is "fourteen billion, eleven million, eight hundred ninety-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 243 252 279 324 372 378 434 486 558 567 651 756 837 868 972 1116 1134 1302 1674 1701 1953 2268 2511 2604 3348 3402 3906 5022 5859 6804 7533 7812 10044 11718 15066 17577 23436 30132 35154 52731 66431 70308 105462 132862 199293 210924 265724 398586 465017 597879 797172 930034 1195758 1395051 1793637 1860068 2059361 2391516 2790102 3587274 4118722 4185153 5380911 5580204 6178083 7174548 8237444 8370306 10761822 12356166 12555459 14415527 16142733 16740612 18534249 21523644 24712332 25110918 28831054 32285466 37068498 37666377 43246581 50221836 55602747 57662108 64570932 74136996 75332754 86493162 111205494 112999131 129739743 150665508 166808241 172986324 222410988 225998262 259479486 333616482 389219229 451996524 500424723 518958972 667232964 778438458 1000849446 1167657687 1556876916 2001698892 2335315374 3502973061 4670630748 7005946122 14011892244