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30414323000 = 2353592771861
BaseRepresentation
bin11100010100110101…
…011011110100111000
32220111121220200200102
4130110311123310320
5444242031314000
621545552254532
72124460323425
oct342465336470
986447820612
1030414323000
1111998102036
125a89841448
132b3917cb39
14168749ad4c
15bd01bb3d5
hex714d5bd38

30414323000 has 128 divisors (see below), whose sum is σ = 72676094400. Its totient is φ = 11909952000.

The previous prime is 30414322997. The next prime is 30414323029. The reversal of 30414323000 is 32341403.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16342070 + ... + 16343930.

Almost surely, 230414323000 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 30414323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36338047200).

30414323000 is an abundant number, since it is smaller than the sum of its proper divisors (42261771400).

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

30414323000 is a wasteful number, since it uses less digits than its factorization.

30414323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30414323000 its reverse (32341403), we get a palindrome (30446664403).

The spelling of 30414323000 in words is "thirty billion, four hundred fourteen million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 277 295 472 500 554 590 1000 1108 1180 1385 1475 1861 2216 2360 2770 2950 3722 5540 5900 6925 7375 7444 9305 11080 11800 13850 14750 14888 16343 18610 27700 29500 32686 34625 37220 46525 55400 59000 65372 69250 74440 81715 93050 109799 130744 138500 163430 186100 219598 232625 277000 326860 372200 408575 439196 465250 515497 548995 653720 817150 878392 930500 1030994 1097990 1634300 1861000 2042875 2061988 2195980 2577485 2744975 3268600 4085750 4123976 4391960 5154970 5489950 8171500 10309940 10979900 12887425 13724875 16343000 20619880 21959800 25774850 27449750 30414323 51549700 54899500 60828646 64437125 103099400 109799000 121657292 128874250 152071615 243314584 257748500 304143230 515497000 608286460 760358075 1216572920 1520716150 3041432300 3801790375 6082864600 7603580750 15207161500 30414323000