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14240244431304 = 23321935932897171
BaseRepresentation
bin1100111100111001000010…
…1101011111100111001000
31212102100120010012120110200
43033032100231133213020
53331303010033300204
650141513351012200
72666552350335063
oct317162055374710
955370503176420
1014240244431304
1145a0287814771
12171ba3106a060
137c3b06b68488
143733353878da
1519a64c53d539
hexcf390b5f9c8

14240244431304 has 96 divisors (see below), whose sum is σ = 40608501055200. Its totient is φ = 4495666164480.

The previous prime is 14240244431293. The next prime is 14240244431339. The reversal of 14240244431304 is 40313444204241.

14240244431304 is a `hidden beast` number, since 1 + 4 + 240 + 244 + 43 + 130 + 4 = 666.

It is a super-2 number, since 2×142402444313042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3466639 + ... + 6363809.

It is an arithmetic number, because the mean of its divisors is an integer number (423005219325).

Almost surely, 214240244431304 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 14240244431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304250527600).

14240244431304 is an abundant number, since it is smaller than the sum of its proper divisors (26368256623896).

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

14240244431304 is a wasteful number, since it uses less digits than its factorization.

14240244431304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900795 (or 2900788 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14240244431304 its reverse (40313444204241), we get a palindrome (54553688635545).

The spelling of 14240244431304 in words is "fourteen trillion, two hundred forty billion, two hundred forty-four million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 3593 7186 10779 14372 21558 28744 32337 43116 64674 68267 86232 129348 136534 204801 258696 273068 409602 546136 614403 819204 1228806 1638408 2457612 2897171 4915224 5794342 8691513 11588684 17383026 23177368 26074539 34766052 52149078 55046249 69532104 104298156 110092498 165138747 208596312 220184996 330277494 440369992 495416241 660554988 990832482 1321109976 1981664964 3963329928 10409535403 20819070806 31228606209 41638141612 62457212418 83276283224 93685818627 124914424836 187371637254 197781172657 249828849672 374743274508 395562345314 593343517971 749486549016 791124690628 1186687035942 1582249381256 1780030553913 2373374071884 3560061107826 4746748143768 7120122215652 14240244431304