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34143231444520 = 23511734392421389
BaseRepresentation
bin1111100001101100101110…
…01011101000011000101000
311110220001122111121201200211
413300312113023220120220
513433400314222211040
6200341103424110504
710122524050524562
oct760662713503050
9143801574551624
1034143231444520
11a974077046970
1239b522b165434
131608901427b03
1486078116a332
153e32255158ea
hex1f0d972e8628

34143231444520 has 128 divisors (see below), whose sum is σ = 85147695072000. Its totient is φ = 12217742714880.

The previous prime is 34143231444463. The next prime is 34143231444527. The reversal of 34143231444520 is 2544413234143.

34143231444520 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (34143231444527) 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, 12889986 + ... + 15311374.

It is an arithmetic number, because the mean of its divisors is an integer number (665216367750).

Almost surely, 234143231444520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34143231444520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42573847536000).

34143231444520 is an abundant number, since it is smaller than the sum of its proper divisors (51004463627480).

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

34143231444520 is a wasteful number, since it uses less digits than its factorization.

34143231444520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421923 (or 2421919 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 34143231444520 its reverse (2544413234143), we get a palindrome (36687644678663).

The spelling of 34143231444520 in words is "thirty-four trillion, one hundred forty-three billion, two hundred thirty-one million, four hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 439 440 584 730 803 878 1460 1606 1756 2195 2920 3212 3512 4015 4390 4829 6424 8030 8780 9658 16060 17560 19316 24145 32047 32120 38632 48290 64094 96580 128188 160235 193160 256376 320470 352517 640940 705034 1281880 1410068 1762585 2421389 2820136 3525170 4842778 7050340 9685556 12106945 14100680 19371112 24213890 26635279 48427780 53270558 96855560 106541116 133176395 176761397 213082232 266352790 353522794 532705580 707045588 883806985 1062989771 1065411160 1414091176 1767613970 1944375367 2125979542 3535227940 3888750734 4251959084 5314948855 7070455880 7777501468 8503918168 9721876835 10629897710 11692887481 15555002936 19443753670 21259795420 23385774962 38887507340 42519590840 46771549924 58464437405 77598253283 77775014680 93543099848 116928874810 155196506566 233857749620 310393013132 387991266415 467715499240 620786026264 775982532830 853580786113 1551965065660 1707161572226 3103930131320 3414323144452 4267903930565 6828646288904 8535807861130 17071615722260 34143231444520