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14112212443032 = 23311127657763997
BaseRepresentation
bin1100110101011100000101…
…1010001101111110011000
31211222010002100102200102010
43031113001122031332120
53322203302341134112
650003021053105520
72654400531363204
oct315270132157630
954863070380363
1014112212443032
114550a57023a10
1216bb05b4882a0
137b4a1191b032
1436b06b40bb04
1519715736e63c
hexcd5c168df98

14112212443032 has 128 divisors (see below), whose sum is σ = 38797410263040. Its totient is φ = 4242043975680.

The previous prime is 14112212443031. The next prime is 14112212443111. The reversal of 14112212443032 is 23034421221141.

It is a happy number.

It is a super-3 number, since 3×141122124430323 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14112212443031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220481658 + ... + 220545654.

It is an arithmetic number, because the mean of its divisors is an integer number (303104767680).

Almost surely, 214112212443032 is an apocalyptic number.

14112212443032 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 14112212443032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19398705131520).

14112212443032 is an abundant number, since it is smaller than the sum of its proper divisors (24685197820008).

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

14112212443032 is a wasteful number, since it uses less digits than its factorization.

14112212443032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70721 (or 70717 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14112212443032 its reverse (23034421221141), we get a palindrome (37146633664173).

The spelling of 14112212443032 in words is "fourteen trillion, one hundred twelve billion, two hundred twelve million, four hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2794 3048 4191 5588 6577 8382 11176 13154 16764 19731 26308 33528 39462 52616 63997 72347 78924 127994 144694 157848 191991 217041 255988 289388 383982 434082 511976 578776 703967 767964 835279 868164 1407934 1535928 1670558 1736328 2111901 2505837 2815868 3341116 4223802 5011674 5631736 6682232 8127619 8447604 9188069 10023348 16255238 16895208 18376138 20046696 24382857 27564207 32510476 36752276 48765714 55128414 65020952 73504552 89403809 97531428 110256828 178807618 195062856 220513656 268211427 357615236 420908269 536422854 715230472 841816538 1072845708 1262724807 1683633076 2145691416 2525449614 3367266152 4629990959 5050899228 9259981918 10101798456 13889972877 18519963836 27779945754 37039927672 53455350163 55559891508 106910700326 111119783016 160366050489 213821400652 320732100978 427642801304 588008851793 641464201956 1176017703586 1282928403912 1764026555379 2352035407172 3528053110758 4704070814344 7056106221516 14112212443032