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14144431098 = 23719158311197
BaseRepresentation
bin11010010110001001…
…01110001111111010
31100111202020112210110
431023010232033322
5212431433243343
610255312125150
71010340452310
oct151304561772
940452215713
1014144431098
115aa9187486
1228a8b367b6
13144550b075
149827520b0
1557bb62833
hex34b12e3fa

14144431098 has 64 divisors (see below), whose sum is σ = 34056253440. Its totient is φ = 3825807552.

The previous prime is 14144431013. The next prime is 14144431099. The reversal of 14144431098 is 89013444141.

It is not an unprimeable number, because it can be changed into a prime (14144431099) by changing a digit.

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, 1257636 + ... + 1268832.

It is an arithmetic number, because the mean of its divisors is an integer number (532128960).

Almost surely, 214144431098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14144431098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028126720).

14144431098 is an abundant number, since it is smaller than the sum of its proper divisors (19911822342).

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

14144431098 is a wasteful number, since it uses less digits than its factorization.

14144431098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12811.

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 14144431098 in words is "fourteen billion, one hundred forty-four million, four hundred thirty-one thousand, ninety-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1583 3166 4749 9498 11081 11197 22162 22394 30077 33243 33591 60154 66486 67182 78379 90231 156758 180462 210539 212743 235137 421078 425486 470274 631617 638229 1263234 1276458 1489201 2978402 4467603 8935206 17724851 35449702 53174553 106349106 124073957 248147914 336772169 372221871 673544338 744443742 1010316507 2020633014 2357405183 4714810366 7072215549 14144431098