Search a number
-
+
41430697212 = 223174716012699
BaseRepresentation
bin100110100101011101…
…100100010011111100
310221221101011111010010
4212211131210103330
51134322224302322
631011043343220
72664456054462
oct464535442374
9127841144103
1041430697212
1116630604033
128043081b10
133ba35bb468
1420105d0832
1511273e220c
hex9a57644fc

41430697212 has 96 divisors (see below), whose sum is σ = 104640076800. Its totient is φ = 12708659200.

The previous prime is 41430697207. The next prime is 41430697219. The reversal of 41430697212 is 21279603414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41430697219) by changing a digit.

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, 15349039 + ... + 15351737.

It is an arithmetic number, because the mean of its divisors is an integer number (1090000800).

Almost surely, 241430697212 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 41430697212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52320038400).

41430697212 is an abundant number, since it is smaller than the sum of its proper divisors (63209379588).

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

41430697212 is a wasteful number, since it uses less digits than its factorization.

41430697212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 41430697212 in words is "forty-one billion, four hundred thirty million, six hundred ninety-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1598 1601 2397 2699 3196 3202 4794 4803 5398 6404 8097 9588 9606 10796 16194 19212 27217 32388 45883 54434 75247 81651 91766 108868 126853 137649 150494 163302 183532 225741 253706 275298 300988 326604 380559 451482 507412 550596 761118 902964 1279199 1522236 2156501 2558398 3837597 4313002 4321099 5116796 6469503 7675194 8626004 8642198 12939006 12963297 15350388 17284396 25878012 25926594 51853188 73458683 146917366 203091653 220376049 293834732 406183306 440752098 609274959 812366612 881504196 1218549918 2437099836 3452558101 6905116202 10357674303 13810232404 20715348606 41430697212