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14124124014 = 237111323310093
BaseRepresentation
bin11010010011101110…
…10000011101101110
31100110100000211201020
431021313100131232
5212411233432024
610253304555010
71010003034060
oct151167203556
940410024636
1014124124014
115a98777470
1228a2182a66
13144124ac40
1497db87730
15579ea0979
hex349dd076e

14124124014 has 128 divisors (see below), whose sum is σ = 38094271488. Its totient is φ = 3371535360.

The previous prime is 14124123947. The next prime is 14124124033. The reversal of 14124124014 is 41042142141.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1394352 + ... + 1404444.

It is an arithmetic number, because the mean of its divisors is an integer number (297611496).

Almost surely, 214124124014 is an apocalyptic number.

14124124014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124124014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19047135744).

14124124014 is an abundant number, since it is smaller than the sum of its proper divisors (23970147474).

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

14124124014 is a wasteful number, since it uses less digits than its factorization.

14124124014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14124124014 its reverse (41042142141), we get a palindrome (55166266155).

The spelling of 14124124014 in words is "fourteen billion, one hundred twenty-four million, one hundred twenty-four thousand, fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 233 273 286 429 462 466 546 699 858 1001 1398 1631 2002 2563 3003 3029 3262 4893 5126 6006 6058 7689 9087 9786 10093 15378 17941 18174 20186 21203 30279 33319 35882 42406 53823 60558 63609 66638 70651 99957 107646 111023 127218 131209 141302 199914 211953 222046 233233 262418 333069 393627 423906 466466 666138 699699 777161 787254 918463 1399398 1443299 1554322 1836926 2331483 2351669 2755389 2886598 4329897 4662966 4703338 5510778 7055007 8659794 10103093 14110014 16461683 20206186 25868359 30309279 30571697 32923366 49385049 51736718 60618558 61143394 77605077 91715091 98770098 155210154 181078513 183430182 214001879 336288667 362157026 428003758 543235539 642005637 672577334 1008866001 1086471078 1284011274 2017732002 2354020669 4708041338 7062062007 14124124014