Search a number
-
+
429314147712 = 27322912850639
BaseRepresentation
bin1100011111101010001…
…11100000010110000000
31112001010122022100220100
412033311013200112000
524013213410211322
6525120232042400
743005543021342
oct6176507402600
91461118270810
10429314147712
1115608670a45a
126b254533400
133163a8a8788
1416ac94b7292
15b27a1e6dac
hex63f51e0580

429314147712 has 96 divisors (see below), whose sum is σ = 1277996148000. Its totient is φ = 138170059776.

The previous prime is 429314147699. The next prime is 429314147723. The reversal of 429314147712 is 217741413924.

429314147712 is a `hidden beast` number, since 4 + 29 + 3 + 141 + 477 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 6391912 + ... + 6458727.

It is an arithmetic number, because the mean of its divisors is an integer number (13312459875).

Almost surely, 2429314147712 is an apocalyptic number.

It is an amenable number.

429314147712 is an abundant number, since it is smaller than the sum of its proper divisors (848682000288).

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

429314147712 is a wasteful number, since it uses less digits than its factorization.

429314147712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12850688 (or 12850673 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 429314147712 in words is "four hundred twenty-nine billion, three hundred fourteen million, one hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 12850639 25701278 38551917 51402556 77103834 102805112 115655751 154207668 205610224 231311502 308415336 372668531 411220448 462623004 616830672 745337062 822440896 925246008 1118005593 1233661344 1490674124 1644881792 1850492016 2236011186 2467322688 2981348248 3354016779 3700984032 4472022372 4934645376 5962696496 6708033558 7401968064 8944044744 11925392992 13416067116 14803936128 17888089488 23850785984 26832134232 35776178976 47701571968 53664268464 71552357952 107328536928 143104715904 214657073856 429314147712