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34143422132344 = 2372115236538461
BaseRepresentation
bin1111100001101101000101…
…00011000011000001111000
311110220002010210102200012211
413300312202203003001320
513433401212031213334
6200341134355144504
710122531554406010
oct760664243030170
9143802123380184
1034143422132344
11a974164749508
1239b5282ba5134
131608931aa1645
1486079c606c40
153e3237130a64
hex1f0da28c3078

34143422132344 has 128 divisors (see below), whose sum is σ = 73773291962880. Its totient is φ = 14511723609600.

The previous prime is 34143422132341. The next prime is 34143422132363. The reversal of 34143422132344 is 44323122434143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34143422132297 and 34143422132306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143422132341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4035384274 + ... + 4035392734.

It is an arithmetic number, because the mean of its divisors is an integer number (576353843460).

Almost surely, 234143422132344 is an apocalyptic number.

It is an amenable number.

34143422132344 is an abundant number, since it is smaller than the sum of its proper divisors (39629869830536).

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

34143422132344 is a wasteful number, since it uses less digits than its factorization.

34143422132344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9861 (or 9857 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

Adding to 34143422132344 its reverse (44323122434143), we get a palindrome (78466544566487).

The spelling of 34143422132344 in words is "thirty-four trillion, one hundred forty-three billion, four hundred twenty-two million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 211 422 523 653 844 1046 1306 1477 1688 2092 2612 2954 3661 4184 4571 5224 5908 7322 8461 9142 11816 14644 16922 18284 29288 33844 36568 59227 67688 110353 118454 137783 220706 236908 275566 341519 441412 473816 551132 683038 772471 882824 964481 1102264 1366076 1544942 1785271 1928962 2390633 2732152 3089884 3570542 3857924 4425103 4781266 5525033 6179768 7141084 7715848 8850206 9562532 11050066 12496897 14282168 17700412 19125064 22100132 24993794 30975721 35400824 38675231 44200264 49987588 61951442 72060509 77350462 99975176 123902884 144121018 154700924 247805768 288242036 309401848 504423563 576484072 933696733 1008847126 1165781963 1867393466 2017694252 2331563926 2889592259 3734786932 4035388504 4663127852 5779184518 6535877131 7469573864 8160473741 9326255704 11558369036 13071754262 16320947482 20227145813 23116738072 26143508524 32641894964 40454291626 52287017048 65283789928 80908583252 161817166504 609703966649 1219407933298 2438815866596 4267927766543 4877631733192 8535855533086 17071711066172 34143422132344