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34124134001104 = 2472325152776679
BaseRepresentation
bin1111100001001001001001…
…11000101010100111010000
311110211020100120102002022201
413300210210320222213100
513433042211301013404
6200324224415412544
710121246565115150
oct760444470524720
9143736316362281
1034124134001104
11a966a67035a84
1239b159b524154
131606b79a30434
1485d88caa8760
153e29a8b2dca4
hex1f0924e2a9d0

34124134001104 has 80 divisors (see below), whose sum is σ = 79159953438720. Its totient is φ = 13933042992000.

The previous prime is 34124134001101. The next prime is 34124134001119. The reversal of 34124134001104 is 40110043142143.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124134001101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25741764 + ... + 27034915.

It is an arithmetic number, because the mean of its divisors is an integer number (989499417984).

Almost surely, 234124134001104 is an apocalyptic number.

It is an amenable number.

34124134001104 is an abundant number, since it is smaller than the sum of its proper divisors (45035819437616).

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

34124134001104 is a wasteful number, since it uses less digits than its factorization.

34124134001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52776968 (or 52776962 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 34124134001104 its reverse (40110043142143), we get a palindrome (74234177143247).

The spelling of 34124134001104 in words is "thirty-four trillion, one hundred twenty-four billion, one hundred thirty-four million, one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 251 322 368 502 644 1004 1288 1757 2008 2576 3514 4016 5773 7028 11546 14056 23092 28112 40411 46184 80822 92368 161644 323288 646576 52776679 105553358 211106716 369436753 422213432 738873506 844426864 1213863617 1477747012 2427727234 2955494024 4855454468 5910988048 8497045319 9710908936 13246946429 16994090638 19421817872 26493892858 33988181276 52987785716 67976362552 92728625003 105975571432 135952725104 185457250006 211951142864 304679767867 370914500012 609359535734 741829000024 1218719071468 1483658000048 2132758375069 2437438142936 4265516750138 4874876285872 8531033500276 17062067000552 34124134001104