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4034421341300 = 2252767263327079
BaseRepresentation
bin111010101101010110010…
…000000011110001110100
3112021200112202112000100202
4322231112100003301310
51012044443330410200
612325215414500032
7564322502403620
oct72552620036164
915250482460322
104034421341300
111315a96740879
12551a93664618
132335a11865cc
14dd3a4a5a180
156ee27d361d5
hex3ab56403c74

4034421341300 has 144 divisors (see below), whose sum is σ = 10193340917760. Its totient is φ = 1357399866240.

The previous prime is 4034421341281. The next prime is 4034421341309. The reversal of 4034421341300 is 31431244304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034421341309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12171161 + ... + 12498239.

Almost surely, 24034421341300 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 4034421341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096670458880).

4034421341300 is an abundant number, since it is smaller than the sum of its proper divisors (6158919576460).

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

4034421341300 is a wasteful number, since it uses less digits than its factorization.

4034421341300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327430 (or 327423 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 4034421341300 its reverse (31431244304), we get a palindrome (4065852585604).

The spelling of 4034421341300 in words is "four trillion, thirty-four billion, four hundred twenty-one million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 263 268 335 350 469 526 670 700 938 1052 1315 1340 1675 1841 1876 2345 2630 3350 3682 4690 5260 6575 6700 7364 9205 9380 11725 13150 17621 18410 23450 26300 35242 36820 46025 46900 70484 88105 92050 123347 176210 184100 246694 327079 352420 440525 493388 616735 654158 881050 1233470 1308316 1635395 1762100 2289553 2466940 3083675 3270790 4579106 6167350 6541580 8176975 9158212 11447765 12334700 16353950 21914293 22895530 32707900 43828586 45791060 57238825 86021777 87657172 109571465 114477650 153400051 172043554 219142930 228955300 306800102 344087108 430108885 438285860 547857325 602152439 613600204 767000255 860217770 1095714650 1204304878 1534000510 1720435540 2150544425 2191429300 2408609756 3010762195 3068001020 3835001275 4301088850 5763459059 6021524390 7670002550 8602177700 11526918118 12043048780 15053810975 15340005100 23053836236 28817295295 30107621950 40344213413 57634590590 60215243900 80688426826 115269181180 144086476475 161376853652 201721067065 288172952950 403442134130 576345905900 806884268260 1008605335325 2017210670650 4034421341300