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20321003424414 = 237112312281155719
BaseRepresentation
bin1001001111011010110100…
…01100001100101010011110
32122221200001200001001011210
410213231122030030222132
510130414403334040124
6111115201243325250
74165100260063620
oct447553214145236
978850050031153
1020321003424414
1165250a8735a30
12234241ab20826
13b45354656014
14503782a44c10
152538e141ba29
hex127b5a30ca9e

20321003424414 has 128 divisors (see below), whose sum is σ = 52878266449920. Its totient is φ = 5048252985600.

The previous prime is 20321003424409. The next prime is 20321003424431. The reversal of 20321003424414 is 41442430012302.

It is a super-2 number, since 2×203210034244142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 130420047 + ... + 130575765.

It is an arithmetic number, because the mean of its divisors is an integer number (413111456640).

Almost surely, 220321003424414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20321003424414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26439133224960).

20321003424414 is an abundant number, since it is smaller than the sum of its proper divisors (32557263025506).

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

20321003424414 is a wasteful number, since it uses less digits than its factorization.

20321003424414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168046.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20321003424414 its reverse (41442430012302), we get a palindrome (61763433436716).

The spelling of 20321003424414 in words is "twenty trillion, three hundred twenty-one billion, three million, four hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 3542 5313 10626 12281 24562 36843 73686 85967 135091 155719 171934 257901 270182 282463 311438 405273 467157 515802 564926 810546 847389 934314 945637 1090033 1694778 1712909 1891274 1977241 2180066 2836911 3107093 3270099 3425818 3581537 3954482 5138727 5673822 5931723 6214186 6540198 7163074 9321279 10277454 10744611 11863446 11990363 18642558 21489222 21749651 23980726 25070759 35971089 39396907 43499302 50141518 65248953 71942178 75212277 78793814 118190721 130497906 150424554 236381442 275778349 551556698 827335047 1654670094 1912385039 3824770078 5737155117 11474310234 13386695273 21036235429 26773390546 40160085819 42072470858 43984855897 63108706287 80320171638 87969711794 126217412574 131954567691 147253648003 263909135382 294507296006 307893991279 441760944009 483833414867 615787982558 883521888018 923681973837 967666829734 1451500244601 1847363947674 2903000489202 3386833904069 6773667808138 10160501712207 20321003424414