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434442143412 = 22342358298731
BaseRepresentation
bin1100101001001101100…
…01010000011010110100
31112112101000112112120000
412110212301100122310
524104214142042122
6531325134511300
743246611201204
oct6244661203264
91475330475500
10434442143412
1115827829a532
1270245965530
1331c77100764
1417054576404
15b47a4d30ac
hex6526c506b4

434442143412 has 60 divisors (see below), whose sum is σ = 1185096624096. Its totient is φ = 138517782480.

The previous prime is 434442143407. The next prime is 434442143503. The reversal of 434442143412 is 214341244434.

434442143412 is a `hidden beast` number, since 4 + 34 + 442 + 143 + 41 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29141914 + ... + 29156817.

Almost surely, 2434442143412 is an apocalyptic number.

It is an amenable number.

434442143412 is an abundant number, since it is smaller than the sum of its proper divisors (750654480684).

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

434442143412 is a wasteful number, since it uses less digits than its factorization.

434442143412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58298770 (or 58298759 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 434442143412 its reverse (214341244434), we get a palindrome (648783387846).

The spelling of 434442143412 in words is "four hundred thirty-four billion, four hundred forty-two million, one hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3726 7452 58298731 116597462 174896193 233194924 349792386 524688579 699584772 1049377158 1340870813 1574065737 2098754316 2681741626 3148131474 4022612439 4722197211 5363483252 6296262948 8045224878 9444394422 12067837317 16090449756 18888788844 24135674634 36203511951 48271349268 72407023902 108610535853 144814047804 217221071706 434442143412