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2145135213214 = 272924122319927
BaseRepresentation
bin11111001101110100000…
…001011011101010011110
321121001222011100120221021
4133031310001123222132
5240121214103310324
64321243404154354
7310660310314330
oct37156401335236
97531864316837
102145135213214
117578239a4694
122a78a95389ba
13127392ca7566
1475b7a0d9450
153abee963ae4
hex1f37405ba9e

2145135213214 has 96 divisors (see below), whose sum is σ = 3919136772096. Its totient is φ = 862065711360.

The previous prime is 2145135213211. The next prime is 2145135213217. The reversal of 2145135213214 is 4123125315412.

It is an interprime number because it is at equal distance from previous prime (2145135213211) and next prime (2145135213217).

It is a super-3 number, since 3×21451352132143 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2145135213214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145135213211) 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 47 ways as a sum of consecutive naturals, for example, 107639719 + ... + 107659645.

It is an arithmetic number, because the mean of its divisors is an integer number (40824341376).

Almost surely, 22145135213214 is an apocalyptic number.

2145135213214 is a deficient number, since it is larger than the sum of its proper divisors (1774001558882).

2145135213214 is a wasteful number, since it uses less digits than its factorization.

2145135213214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20258 (or 20229 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The spelling of 2145135213214 in words is "two trillion, one hundred forty-five billion, one hundred thirty-five million, two hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 7 14 29 41 58 82 203 223 287 406 446 574 841 1189 1561 1682 2378 3122 5887 6467 8323 9143 11774 12934 16646 18286 19927 34481 39854 45269 64001 68962 90538 128002 139489 187543 241367 265147 278978 375086 482734 530294 577883 817007 1155766 1312801 1634014 1856029 2625602 3712058 4045181 4443721 5719049 7689263 8090362 8887442 11438098 15378526 16758607 23693203 31106047 33517214 47386406 53824841 62212094 107649682 117310249 128867909 165852421 182192561 234620498 257735818 331704842 364385122 687102887 902075363 1275347927 1374205774 1804150726 2550695854 3737169361 4809720209 5283584269 7474338722 9619440418 10567168538 26160185527 36985089883 52320371054 73970179766 153223943801 306447887602 1072567606607 2145135213214