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4241103516 = 22331313123059
BaseRepresentation
bin1111110011001010…
…0001101010011100
3101221120101101022000
43330302201222130
532141210303031
61540501322300
7210045533166
oct37462415234
911846341260
104241103516
111886aa0931
129a4406390
1352786a910
142c3395936
1519c4ed3e6
hexfcca1a9c

4241103516 has 96 divisors (see below), whose sum is σ = 11932166400. Its totient is φ = 1294937280.

The previous prime is 4241103497. The next prime is 4241103523. The reversal of 4241103516 is 6153011424.

It is a happy number.

4241103516 is a `hidden beast` number, since 4 + 2 + 41 + 103 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4241103516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172395 + ... + 195453.

It is an arithmetic number, because the mean of its divisors is an integer number (124293400).

Almost surely, 24241103516 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 4241103516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966083200).

4241103516 is an abundant number, since it is smaller than the sum of its proper divisors (7691062884).

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

4241103516 is a wasteful number, since it uses less digits than its factorization.

4241103516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23216 (or 23208 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4241103516 is about 65123.7553892587. The cubic root of 4241103516 is about 1618.6748697241.

The spelling of 4241103516 in words is "four billion, two hundred forty-one million, one hundred three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 131 156 234 262 351 393 468 524 702 786 1179 1404 1572 1703 2358 3406 3537 4716 5109 6812 7074 10218 14148 15327 20436 23059 30654 45981 46118 61308 69177 91962 92236 138354 183924 207531 276708 299767 415062 599534 622593 830124 899301 1199068 1245186 1798602 2490372 2697903 3020729 3597204 5395806 6041458 8093709 9062187 10791612 12082916 16187418 18124374 27186561 32374836 36248748 39269477 54373122 78538954 81559683 108746244 117808431 157077908 163119366 235616862 326238732 353425293 471233724 706850586 1060275879 1413701172 2120551758 4241103516