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14461439436 = 2233178639127
BaseRepresentation
bin11010111011111100…
…00000110111001100
31101022211202020111000
431131332000313030
5214104112030221
610350554500300
71021240131003
oct153576006714
941284666430
1014461439436
116151118544
122977134690
1314960b2672
149b28b1c3a
155998d0e26
hex35df80dcc

14461439436 has 96 divisors (see below), whose sum is σ = 39748423680. Its totient is φ = 4531168512.

The previous prime is 14461439413. The next prime is 14461439449. The reversal of 14461439436 is 63493416441.

It is a super-2 number, since 2×144614394362 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14461439391 and 14461439400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1579905 + ... + 1589031.

It is an arithmetic number, because the mean of its divisors is an integer number (414046080).

Almost surely, 214461439436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14461439436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19874211840).

14461439436 is an abundant number, since it is smaller than the sum of its proper divisors (25286984244).

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

14461439436 is a wasteful number, since it uses less digits than its factorization.

14461439436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020 (or 10012 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 14461439436 in words is "fourteen billion, four hundred sixty-one million, four hundred thirty-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 863 918 1726 1836 2589 3452 5178 7767 9127 10356 14671 15534 18254 23301 27381 29342 31068 36508 44013 46602 54762 58684 82143 88026 93204 109524 132039 155159 164286 176052 246429 264078 310318 328572 396117 465477 492858 528156 620636 792234 930954 985716 1396431 1584468 1861908 2792862 4189293 5585724 7876601 8378586 15753202 16757172 23629803 31506404 47259606 70889409 94519212 133902217 141778818 212668227 267804434 283557636 401706651 425336454 535608868 803413302 850672908 1205119953 1606826604 2410239906 3615359859 4820479812 7230719718 14461439436