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13854190224 = 2437212746381
BaseRepresentation
bin11001110011100011…
…00010101010010000
31022202112002210011110
430321301202222100
5211333133041344
610210423213320
71000214450100
oct147161425220
938675083143
1013854190224
11596a369196
1228278a7240
1313ca3492c4
14955d9d200
155614303b9
hex339c62a90

13854190224 has 120 divisors (see below), whose sum is σ = 41961980928. Its totient is φ = 3927087360.

The previous prime is 13854190193. The next prime is 13854190237. The reversal of 13854190224 is 42209145831.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275514 + ... + 321894.

Almost surely, 213854190224 is an apocalyptic number.

13854190224 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 13854190224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20980990464).

13854190224 is an abundant number, since it is smaller than the sum of its proper divisors (28107790704).

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

13854190224 is a wasteful number, since it uses less digits than its factorization.

13854190224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46533 (or 46520 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 13854190224 in words is "thirteen billion, eight hundred fifty-four million, one hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 127 147 168 196 254 294 336 381 392 508 588 762 784 889 1016 1176 1524 1778 2032 2352 2667 3048 3556 5334 6096 6223 7112 10668 12446 14224 18669 21336 24892 37338 42672 46381 49784 74676 92762 99568 139143 149352 185524 278286 298704 324667 371048 556572 649334 742096 974001 1113144 1298668 1948002 2226288 2272669 2597336 3896004 4545338 5194672 5890387 6818007 7792008 9090676 11780774 13636014 15584016 17671161 18181352 23561548 27272028 35342322 36362704 41232709 47123096 54544056 70684644 82465418 94246192 109088112 123698127 141369288 164930836 247396254 282738576 288628963 329861672 494792508 577257926 659723344 865886889 989585016 1154515852 1731773778 1979170032 2309031704 3463547556 4618063408 6927095112 13854190224