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4021124214258 = 234731234727539
BaseRepresentation
bin111010100000111101101…
…011100010110111110010
3112020102020001121222020000
4322200331223202313302
51011340230244324013
612315140131130430
7563342130603444
oct72407553426762
915212201558200
104021124214258
111310392874488
1254b3a2443a16
132322623816b8
14dc8a2a68494
156e8ea791973
hex3a83dae2df2

4021124214258 has 80 divisors (see below), whose sum is σ = 9134797019040. Its totient is φ = 1321858367424.

The previous prime is 4021124214253. The next prime is 4021124214277. The reversal of 4021124214258 is 8524124211204.

4021124214258 is a `hidden beast` number, since 402 + 1 + 1 + 242 + 1 + 4 + 2 + 5 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4021124214253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 146001853 + ... + 146029391.

It is an arithmetic number, because the mean of its divisors is an integer number (114184962738).

Almost surely, 24021124214258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021124214258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567398509520).

4021124214258 is an abundant number, since it is smaller than the sum of its proper divisors (5113672804782).

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

4021124214258 is a wasteful number, since it uses less digits than its factorization.

4021124214258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39973 (or 39964 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 4021124214258 in words is "four trillion, twenty-one billion, one hundred twenty-four million, two hundred fourteen thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 3942 5913 11826 12347 24694 27539 37041 55078 74082 82617 111123 165234 222246 247851 333369 495702 666738 743553 901331 1000107 1487106 1802662 2000214 2010347 2230659 2703993 4020694 4461318 5407986 6031041 8111979 12062082 16223958 18093123 24335937 36186246 48671874 54279369 73007811 108558738 146015622 162838107 325676214 340024033 680048066 1020072099 2040144198 3060216297 6120432594 9180648891 18361297782 24821754409 27541946673 49643508818 55083893346 74465263227 148930526454 223395789681 446791579362 670187369043 1340374738086 2010562107129 4021124214258