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14234034113344 = 261959382723869
BaseRepresentation
bin1100111100100001111010…
…0011000000101101000000
31212101202112022101201210101
43033020132203000231000
53331202300213111334
650135005222212144
72666242430446603
oct317103643005500
955352468351711
1014234034113344
1145986901a3991
12171a799284054
137c3357341c16
14372d0666c33a
1519a3d720e214
hexcf21e8c0b40

14234034113344 has 112 divisors (see below), whose sum is σ = 29819675793600. Its totient is φ = 6722646368256.

The previous prime is 14234034113329. The next prime is 14234034113413. The reversal of 14234034113344 is 44331143043241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596327842 + ... + 596351710.

It is an arithmetic number, because the mean of its divisors is an integer number (266247105300).

Almost surely, 214234034113344 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 14234034113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909837896800).

14234034113344 is an abundant number, since it is smaller than the sum of its proper divisors (15585641680256).

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

14234034113344 is a wasteful number, since it uses less digits than its factorization.

14234034113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25320 (or 25310 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 14234034113344 its reverse (44331143043241), we get a palindrome (58565177156585).

The spelling of 14234034113344 in words is "fourteen trillion, two hundred thirty-four billion, thirty-four million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 593 608 827 1186 1216 1654 2372 3308 4744 6616 9488 11267 13232 15713 18976 22534 23869 26464 31426 37952 45068 47738 52928 62852 90136 95476 125704 180272 190952 251408 360544 381904 453511 490411 502816 721088 763808 907022 980822 1005632 1527616 1814044 1961644 3628088 3923288 7256176 7846576 9317809 14154317 14512352 15693152 18635618 19739663 28308634 29024704 31386304 37271236 39479326 56617268 74542472 78958652 113234536 149084944 157917304 226469072 268932023 298169888 315834608 375053597 452938144 537864046 596339776 631669216 750107194 905876288 1075728092 1263338432 1500214388 2151456184 3000428776 4302912368 6000857552 8605824736 11705620159 12001715104 17211649472 23411240318 24003430208 46822480636 93644961272 187289922544 222406783021 374579845088 444813566042 749159690176 889627132084 1779254264168 3558508528336 7117017056672 14234034113344