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34412242140 = 22325631130293
BaseRepresentation
bin100000000011001000…
…010010010011011100
310021211020201000201200
4200003020102103130
51030434013222030
623450405435500
72325524142363
oct400310222334
9107736630650
1034412242140
11136598a4941
12680470bb90
133325523373
14194642c7da
15d6617ed60
hex8032124dc

34412242140 has 72 divisors (see below), whose sum is σ = 104403787488. Its totient is φ = 9174840960.

The previous prime is 34412242133. The next prime is 34412242153. The reversal of 34412242140 is 4124221443.

34412242140 is a `hidden beast` number, since 3 + 4 + 412 + 242 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120834 + ... + 1151126.

It is an arithmetic number, because the mean of its divisors is an integer number (1450052604).

Almost surely, 234412242140 is an apocalyptic number.

34412242140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34412242140 is an abundant number, since it is smaller than the sum of its proper divisors (69991545348).

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

34412242140 is a wasteful number, since it uses less digits than its factorization.

34412242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36619 (or 36614 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34412242140 its reverse (4124221443), we get a palindrome (38536463583).

The spelling of 34412242140 in words is "thirty-four billion, four hundred twelve million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6311 12622 18933 25244 30293 31555 37866 56799 60586 63110 75732 90879 94665 113598 121172 126220 151465 181758 189330 227196 272637 283995 302930 363516 378660 454395 545274 567990 605860 908790 1090548 1135980 1363185 1817580 2726370 5452740 191179123 382358246 573537369 764716492 955895615 1147074738 1720612107 1911791230 2294149476 2867686845 3441224214 3823582460 5735373690 6882448428 8603060535 11470747380 17206121070 34412242140