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432341434134 = 232236119738677
BaseRepresentation
bin1100100101010011000…
…11101011111100010110
31112022221121200110011200
412102221203223330112
524040413401343014
6530340453213330
743143552361311
oct6225143537426
91468847613150
10432341434134
1115739a517565
126b95a331246
1331a00b24b0c
1416cd5583978
15b3a5d7aa09
hex64a98ebf16

432341434134 has 96 divisors (see below), whose sum is σ = 994109747904. Its totient is φ = 135503850240.

The previous prime is 432341434123. The next prime is 432341434171. The reversal of 432341434134 is 431434143234.

432341434134 is a `hidden beast` number, since 4 + 3 + 234 + 1 + 4 + 3 + 413 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49821804 + ... + 49830480.

It is an arithmetic number, because the mean of its divisors is an integer number (10355309874).

Almost surely, 2432341434134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432341434134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497054873952).

432341434134 is an abundant number, since it is smaller than the sum of its proper divisors (561768313770).

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

432341434134 is a wasteful number, since it uses less digits than its factorization.

432341434134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10739 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 432341434134 its reverse (431434143234), we get a palindrome (863775577368).

The spelling of 432341434134 in words is "four hundred thirty-two billion, three hundred forty-one million, four hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 366 414 549 1098 1403 1973 2806 3946 4209 5919 8418 8677 11838 12627 17354 17757 25254 26031 35514 45379 52062 78093 90758 120353 136137 156186 199571 240706 272274 361059 399142 408411 529297 598713 722118 816822 1058594 1083177 1197426 1587891 1796139 2166354 2768119 3175782 3592278 4763673 5536238 8304357 9527346 12173831 16608714 17119721 24347662 24913071 34239442 36521493 49826142 51359163 73042986 102718326 109564479 154077489 219128958 308154978 393753583 787507166 1044302981 1181260749 2088605962 2362521498 3132908943 3543782247 6265817886 7087564494 9398726829 18797453658 24018968563 48037937126 72056905689 144113811378 216170717067 432341434134