Search a number
-
+
14388245574 = 23313713011607
BaseRepresentation
bin11010110011001101…
…10011010001000110
31101010202000121101020
431121212303101012
5213431342324244
610335422012010
71016361032553
oct153146632106
941122017336
1014388245574
11611387594a
122956717006
131483b961a1
149a6c9ba2a
15593273d19
hex3599b3446

14388245574 has 64 divisors (see below), whose sum is σ = 30550044672. Its totient is φ = 4509648000.

The previous prime is 14388245569. The next prime is 14388245587. The reversal of 14388245574 is 47554288341.

14388245574 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×143882455743 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8952679 + ... + 8954285.

It is an arithmetic number, because the mean of its divisors is an integer number (477344448).

Almost surely, 214388245574 is an apocalyptic number.

14388245574 is an abundant number, since it is smaller than the sum of its proper divisors (16161799098).

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

14388245574 is a wasteful number, since it uses less digits than its factorization.

14388245574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981.

The product of its digits is 4300800, while the sum is 51.

The spelling of 14388245574 in words is "fourteen billion, three hundred eighty-eight million, two hundred forty-five thousand, five hundred seventy-four".

Divisors: 1 2 3 6 31 37 62 74 93 111 186 222 1147 1301 1607 2294 2602 3214 3441 3903 4821 6882 7806 9642 40331 48137 49817 59459 80662 96274 99634 118918 120993 144411 149451 178377 241986 288822 298902 356754 1492247 1843229 2090707 2984494 3686458 4181414 4476741 5529687 6272121 8953482 11059374 12544242 64811917 77356159 129623834 154712318 194435751 232068477 388871502 464136954 2398040929 4796081858 7194122787 14388245574