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3424122443000 = 235374710407667
BaseRepresentation
bin110001110100111101100…
…110100001010011111000
3110010100020222110201100202
4301310331212201103320
5422100100321134000
611141004203221332
7502245642353210
oct61647546412370
913110228421322
103424122443000
111100186941586
1247374b817848
131bab7c93844c
14bba2aa89240
155e108c67dd5
hex31d3d9a14f8

3424122443000 has 128 divisors (see below), whose sum is σ = 9351914158080. Its totient is φ = 1149006326400.

The previous prime is 3424122442991. The next prime is 3424122443023. The reversal of 3424122443000 is 3442214243.

It is a super-2 number, since 2×34241224430002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4874834 + ... + 5532833.

It is an arithmetic number, because the mean of its divisors is an integer number (73061829360).

Almost surely, 23424122443000 is an apocalyptic number.

It is an amenable number.

3424122443000 is an abundant number, since it is smaller than the sum of its proper divisors (5927791715080).

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

3424122443000 is a wasteful number, since it uses less digits than its factorization.

3424122443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10407742 (or 10407728 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 3424122443000 its reverse (3442214243), we get a palindrome (3427564657243).

The spelling of 3424122443000 in words is "three trillion, four hundred twenty-four billion, one hundred twenty-two million, four hundred forty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 125 140 175 188 200 235 250 280 329 350 376 470 500 658 700 875 940 1000 1175 1316 1400 1645 1750 1880 2350 2632 3290 3500 4700 5875 6580 7000 8225 9400 11750 13160 16450 23500 32900 41125 47000 65800 82250 164500 329000 10407667 20815334 41630668 52038335 72853669 83261336 104076670 145707338 208153340 260191675 291414676 364268345 416306680 489160349 520383350 582829352 728536690 978320698 1040766700 1300958375 1457073380 1821341725 1956641396 2081533400 2445801745 2601916750 2914146760 3424122443 3642683450 3913282792 4891603490 5203833500 6848244886 7285366900 9106708625 9783206980 10407667000 12229008725 13696489772 14570733800 17120612215 18213417250 19566413960 24458017450 27392979544 34241224430 36426834500 48916034900 61145043625 68482448860 72853669000 85603061075 97832069800 122290087250 136964897720 171206122150 244580174500 342412244300 428015305375 489160349000 684824488600 856030610750 1712061221500 3424122443000