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34424343401200 = 2452161353354531
BaseRepresentation
bin1111101001111000010101…
…10000101001001011110000
311111212221020200100201222221
413310330022300221023300
514003002023402314300
6201114154113010424
710152035214655444
oct764741260511360
9144787220321887
1034424343401200
11aa72311455705
123a3b802b53a14
131629281057b0c
1487020b958824
153ea6c98a231a
hex1f4f0ac292f0

34424343401200 has 60 divisors (see below), whose sum is σ = 82755760276728. Its totient is φ = 13761200377600.

The previous prime is 34424343401183. The next prime is 34424343401219. The reversal of 34424343401200 is 210434342443.

It is a super-2 number, since 2×344243434012002 (a number of 28 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 11 ways as a sum of consecutive naturals, for example, 26032066 + ... + 27322465.

Almost surely, 234424343401200 is an apocalyptic number.

It is an amenable number.

34424343401200 is an abundant number, since it is smaller than the sum of its proper divisors (48331416875528).

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

34424343401200 is a wasteful number, since it uses less digits than its factorization.

34424343401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53356162 (or 53356151 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 34424343401200 its reverse (210434342443), we get a palindrome (34634777743643).

The spelling of 34424343401200 in words is "thirty-four trillion, four hundred twenty-four billion, three hundred forty-three million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1613 3226 6452 8065 12904 16130 25808 32260 40325 64520 80650 129040 161300 322600 645200 53354531 106709062 213418124 266772655 426836248 533545310 853672496 1067090620 1333863275 2134181240 2667726550 4268362480 5335453100 10670906200 21341812400 86060858503 172121717006 344243434012 430304292515 688486868024 860608585030 1376973736048 1721217170060 2151521462575 3442434340120 4303042925150 6884868680240 8606085850300 17212171700600 34424343401200