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21143135434542 = 23111973900725643
BaseRepresentation
bin1001100111010110001010…
…00100111011011100101110
32202212021010110110101111020
410303223011010323130232
510232402120132401132
6112545004453435010
74311353414626542
oct463530504733456
982767113411436
1021143135434542
116811831830490
12245582133ba66
13ba4a348c5074
145314944b1a22
15269eac71652c
hex133ac513b72e

21143135434542 has 128 divisors (see below), whose sum is σ = 49230965514240. Its totient is φ = 5985753603840.

The previous prime is 21143135434501. The next prime is 21143135434549. The reversal of 21143135434542 is 24543453134112.

It is a junction number, because it is equal to n+sod(n) for n = 21143135434494 and 21143135434503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21143135434549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 824505973 + ... + 824531615.

It is an arithmetic number, because the mean of its divisors is an integer number (384616918080).

Almost surely, 221143135434542 is an apocalyptic number.

21143135434542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21143135434542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24615482757120).

21143135434542 is an abundant number, since it is smaller than the sum of its proper divisors (28087830079698).

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

21143135434542 is a wasteful number, since it uses less digits than its factorization.

21143135434542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34758.

The product of its digits is 691200, while the sum is 42.

Adding to 21143135434542 its reverse (24543453134112), we get a palindrome (45686588568654).

The spelling of 21143135434542 in words is "twenty-one trillion, one hundred forty-three billion, one hundred thirty-five million, four hundred thirty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 73 114 146 209 219 418 438 627 803 1254 1387 1606 2409 2774 4161 4818 8322 9007 15257 18014 25643 27021 30514 45771 51286 54042 76929 91542 99077 153858 171133 198154 282073 297231 342266 487217 513399 564146 594462 657511 846219 974434 1026798 1315022 1461651 1692438 1871939 1882463 1972533 2923302 3743878 3764926 3945066 5359387 5615817 5647389 7232621 10718774 11231634 11294778 12492709 14465242 16078161 20591329 21697863 24985418 32156322 35566841 37478127 41182658 43395726 61773987 71133682 74956254 106700523 123547974 137419799 213401046 230966501 274839598 391235251 412259397 461933002 692899503 782470502 824518794 1173705753 1385799006 2347411506 2540631511 4388363519 5081263022 7621894533 8776727038 13165090557 15243789066 16860554573 26330181114 33721109146 48271998709 50581663719 96543997418 101163327438 144815996127 185466100303 289631992254 320350536887 370932200606 556398300909 640701073774 961051610661 1112796601818 1922103221322 3523855905757 7047711811514 10571567717271 21143135434542