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4021442441334 = 233533134489189
BaseRepresentation
bin111010100001010000101…
…001011111000001110110
3112020110001020102120201000
4322201100221133001312
51011341403231110314
612315231455544130
7563353043516253
oct72412051370166
915213036376630
104021442441334
11131053646816a
1254b470b2b046
132322b3291946
14dc8d302442a
156e9186a1209
hex3a850a5f076

4021442441334 has 64 divisors (see below), whose sum is σ = 9134244676800. Its totient is φ = 1310986550016.

The previous prime is 4021442441309. The next prime is 4021442441353. The reversal of 4021442441334 is 4331442441204.

4021442441334 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 24 + 413 + 3 + 4 = 666.

It is a super-3 number, since 3×40214424413343 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348789 + ... + 3140400.

It is an arithmetic number, because the mean of its divisors is an integer number (142722573075).

Almost surely, 24021442441334 is an apocalyptic number.

4021442441334 is an abundant number, since it is smaller than the sum of its proper divisors (5112802235466).

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

4021442441334 is a wasteful number, since it uses less digits than its factorization.

4021442441334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489566 (or 4489560 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4021442441334 its reverse (4331442441204), we get a palindrome (8352884882538).

The spelling of 4021442441334 in words is "four trillion, twenty-one billion, four hundred forty-two million, four hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 313 318 477 626 939 954 1431 1878 2817 2862 5634 8451 16589 16902 33178 49767 99534 149301 298602 447903 895806 4489189 8978378 13467567 26935134 40402701 80805402 121208103 237927017 242416206 475854034 713781051 1405116157 1427562102 2141343153 2810232314 4215348471 4282686306 6424029459 8430696942 12646045413 12848058918 25292090826 37938136239 74471156321 75876272478 148942312642 223413468963 446826937926 670240406889 1340480813778 2010721220667 4021442441334