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14431430412 = 22327264112763
BaseRepresentation
bin11010111000010111…
…00010011100001100
31101020202021121211200
431130023202130030
5214023421233122
610344003345500
71020424064100
oct153413423414
941222247750
1014431430412
1161361912a3
122969082290
13148cb06549
149ac8dd900
15596e545ac
hex35c2e270c

14431430412 has 108 divisors (see below), whose sum is σ = 42504809256. Its totient is φ = 4116510720.

The previous prime is 14431430381. The next prime is 14431430471. The reversal of 14431430412 is 21403413441.

14431430412 is a `hidden beast` number, since 1 + 44 + 314 + 304 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1124343 + ... + 1137105.

Almost surely, 214431430412 is an apocalyptic number.

14431430412 is a gapful number since it is divisible by the number (12) 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 14431430412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21252404628).

14431430412 is an abundant number, since it is smaller than the sum of its proper divisors (28073378844).

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

14431430412 is a wasteful number, since it uses less digits than its factorization.

14431430412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13428 (or 13416 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14431430412 its reverse (21403413441), we get a palindrome (35834843853).

It can be divided in two parts, 144 and 31430412, that added together give a triangular number (31430556 = T7928).

The spelling of 14431430412 in words is "fourteen billion, four hundred thirty-one million, four hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 641 882 1282 1764 1923 2564 3846 4487 5769 7692 8974 11538 12763 13461 17948 23076 25526 26922 31409 38289 40383 51052 53844 62818 76578 80766 89341 94227 114867 125636 153156 161532 178682 188454 229734 268023 282681 357364 376908 459468 536046 565362 625387 804069 1072092 1130724 1250774 1608138 1876161 2501548 3216276 3752322 5628483 7504644 8181083 11256966 16362166 22513932 24543249 32724332 49086498 57267581 73629747 98172996 114535162 147259494 171802743 229070324 294518988 343605486 400873067 515408229 687210972 801746134 1030816458 1202619201 1603492268 2061632916 2405238402 3607857603 4810476804 7215715206 14431430412