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14133133324310 = 25711134332834917
BaseRepresentation
bin1100110110101010000001…
…1001000011000000010110
31212001010002100202120021212
43031222200121003000112
53323024124112334220
650020401040141422
72656041135055160
oct315524031030026
955033070676255
1014133133324310
114559912347740
121703119907872
137b6997020920
1436c093b27930
1519797dd8e0c5
hexcdaa0643016

14133133324310 has 128 divisors (see below), whose sum is σ = 34951062795264. Its totient is φ = 3971711439360.

The previous prime is 14133133324291. The next prime is 14133133324399. The reversal of 14133133324310 is 1342333133141.

It is a happy number.

It is a super-2 number, since 2×141331333243102 (a number of 27 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15987029 + ... + 16847888.

It is an arithmetic number, because the mean of its divisors is an integer number (273055178088).

Almost surely, 214133133324310 is an apocalyptic number.

14133133324310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14133133324310 is an abundant number, since it is smaller than the sum of its proper divisors (20817929470954).

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

14133133324310 is a wasteful number, since it uses less digits than its factorization.

14133133324310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32834998.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 14133133324310 its reverse (1342333133141), we get a palindrome (15475466457451).

The spelling of 14133133324310 in words is "fourteen trillion, one hundred thirty-three billion, one hundred thirty-three million, three hundred twenty-four thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 43 55 65 70 77 86 91 110 130 143 154 182 215 286 301 385 430 455 473 559 602 715 770 910 946 1001 1118 1430 1505 2002 2365 2795 3010 3311 3913 4730 5005 5590 6149 6622 7826 10010 12298 16555 19565 30745 33110 39130 43043 61490 86086 215215 430430 32834917 65669834 164174585 229844419 328349170 361184087 426853921 459688838 722368174 853707842 1149222095 1411901431 1805920435 2134269605 2298444190 2528288609 2823802862 2987977447 3611840870 4268539210 4695393131 5056577218 5975954894 7059507155 9390786262 9883310017 12641443045 14119014310 14939887235 15530915741 18354718603 19766620034 23476965655 25282886090 29879774470 31061831482 32867751917 36709437206 46953931310 49416550085 65735503834 77654578705 91773593015 98833100170 108716410187 128483030221 155309157410 164338759585 183547186030 201901904633 217432820374 256966060442 328677519170 403803809266 543582050935 642415151105 1009509523165 1087164101870 1284830302210 1413313332431 2019019046330 2826626664862 7066566662155 14133133324310