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14124351252 = 223111941137359
BaseRepresentation
bin11010010011110000…
…00111111100010100
31100110100110101102110
431021320013330110
5212411313220002
610253313511020
71010005001424
oct151170077424
940410411373
1014124351252
115a98912170
1228a2272470
1314412ca4bb
1497dc06484
15579ee7e6c
hex349e07f14

14124351252 has 96 divisors (see below), whose sum is σ = 38768486400. Its totient is φ = 3955910400.

The previous prime is 14124351209. The next prime is 14124351257. The reversal of 14124351252 is 25215342141.

14124351252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124351257) by changing a digit.

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, 34149 + ... + 171507.

It is an arithmetic number, because the mean of its divisors is an integer number (403838400).

Almost surely, 214124351252 is an apocalyptic number.

14124351252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124351252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19384243200).

14124351252 is an abundant number, since it is smaller than the sum of its proper divisors (24644135148).

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

14124351252 is a wasteful number, since it uses less digits than its factorization.

14124351252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137437 (or 137435 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

Adding to 14124351252 its reverse (25215342141), we get a palindrome (39339693393).

The spelling of 14124351252 in words is "fourteen billion, one hundred twenty-four million, three hundred fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 41 44 57 66 76 82 114 123 132 164 209 228 246 418 451 492 627 779 836 902 1254 1353 1558 1804 2337 2508 2706 3116 4674 5412 8569 9348 17138 25707 34276 51414 102828 137359 274718 412077 549436 824154 1510949 1648308 2609821 3021898 4532847 5219642 5631719 6043796 7829463 9065694 10439284 11263438 15658926 16895157 18131388 22526876 28708031 31317852 33790314 57416062 61948909 67580628 86124093 107002661 114832124 123897818 172248186 185846727 214005322 247795636 321007983 344496372 371693454 428010644 642015966 743386908 1177029271 1284031932 2354058542 3531087813 4708117084 7062175626 14124351252