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134233042216 = 237133124112467
BaseRepresentation
bin111110100000011101…
…0011010110100101000
3110211110221011001220011
41331000322122310220
54144402124322331
6141355451541304
712461264014210
oct1750072326450
9424427131804
10134233042216
1151a23064429
122202245a834
13c872b7c140
1466d5763240
1537597bd3b1
hex1f40e9ad28

134233042216 has 128 divisors (see below), whose sum is σ = 320023388160. Its totient is φ = 51348038400.

The previous prime is 134233042213. The next prime is 134233042217. The reversal of 134233042216 is 612240332431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (134233042213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54410215 + ... + 54412681.

It is an arithmetic number, because the mean of its divisors is an integer number (2500182720).

Almost surely, 2134233042216 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 134233042216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160011694080).

134233042216 is an abundant number, since it is smaller than the sum of its proper divisors (185790345944).

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

134233042216 is a wasteful number, since it uses less digits than its factorization.

134233042216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 134233042216 its reverse (612240332431), we get a palindrome (746473374647).

The spelling of 134233042216 in words is "one hundred thirty-four billion, two hundred thirty-three million, forty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1612 1736 2411 2467 2821 3224 4822 4934 5642 9644 9868 11284 16877 17269 19288 19736 22568 31343 32071 33754 34538 62686 64142 67508 69076 74741 76477 125372 128284 135016 138152 149482 152954 219401 224497 250744 256568 298964 305908 438802 448994 523187 535339 597928 611816 877604 897988 971633 994201 1046374 1070678 1755208 1795976 1943266 1988402 2092748 2141356 3886532 3976804 4185496 4282712 5947937 6801431 6959407 7773064 7953608 11895874 13602862 13918814 23791748 27205724 27837628 41635559 47583496 54411448 55675256 77323181 83271118 154646362 166542236 184386047 309292724 333084472 368772094 541262267 618585448 737544188 1082524534 1290702329 1475088376 2165049068 2397018611 2581404658 4330098136 4794037222 5162809316 9588074444 10325618632 16779130277 19176148888 33558260554 67116521108 134233042216