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14534412112 = 241143259757
BaseRepresentation
bin11011000100101000…
…11000011101010000
31101111221001122011201
431202110120131100
5214231302141422
610402122520544
71023114315223
oct154224303520
941457048151
1014534412112
116189329a40
122997666154
1314a825226c
149bc4695ba
155a0ee7727
hex362518750

14534412112 has 120 divisors (see below), whose sum is σ = 32026834080. Its totient is φ = 6335159040.

The previous prime is 14534412097. The next prime is 14534412163. The reversal of 14534412112 is 21121443541.

It is a happy number.

It is a super-3 number, since 3×145344121123 (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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19199638 + ... + 19200394.

It is an arithmetic number, because the mean of its divisors is an integer number (266890284).

Almost surely, 214534412112 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 14534412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16013417040).

14534412112 is an abundant number, since it is smaller than the sum of its proper divisors (17492421968).

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

14534412112 is a wasteful number, since it uses less digits than its factorization.

14534412112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 872 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

Adding to 14534412112 its reverse (21121443541), we get a palindrome (35655855653).

The spelling of 14534412112 in words is "fourteen billion, five hundred thirty-four million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 43 44 59 86 88 118 172 176 236 344 472 473 649 688 757 944 946 1298 1514 1849 1892 2537 2596 3028 3698 3784 5074 5192 6056 7396 7568 8327 10148 10384 12112 14792 16654 20296 20339 27907 29584 32551 33308 40592 40678 44663 55814 65102 66616 81356 89326 109091 111628 130204 133232 162712 178652 218182 223256 260408 325424 357304 358061 436364 446512 491293 520816 714608 716122 872728 982586 1200001 1399693 1432244 1745456 1920509 1965172 2400002 2799386 2864488 3841018 3930344 4800004 5598772 5728976 7682036 7860688 9600008 11197544 15364072 15396623 19200016 21125599 22395088 30728144 30793246 42251198 61586492 82581887 84502396 123172984 165163774 169004792 246345968 330327548 338009584 660655096 908400757 1321310192 1816801514 3633603028 7267206056 14534412112