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4110414420 = 2235716758603
BaseRepresentation
bin1111010011111111…
…1111001001010100
3101121110110200120010
43310333333021110
531404231230140
61515512240220
7203600642340
oct36477771124
911543420503
104110414420
11181a249212
129686a0070
135067705a8
142adc96620
15190cd5880
hexf4fff254

4110414420 has 96 divisors (see below), whose sum is σ = 13232314368. Its totient is φ = 933881472.

The previous prime is 4110414401. The next prime is 4110414467. The reversal of 4110414420 is 244140114.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 40839 + ... + 99441.

It is an arithmetic number, because the mean of its divisors is an integer number (137836608).

Almost surely, 24110414420 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 4110414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616157184).

4110414420 is an abundant number, since it is smaller than the sum of its proper divisors (9121899948).

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

4110414420 is a wasteful number, since it uses less digits than its factorization.

4110414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58789 (or 58787 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4110414420 is about 64112.5137551165. The cubic root of 4110414420 is about 1601.8746802301.

Adding to 4110414420 its reverse (244140114), we get a palindrome (4354554534).

The spelling of 4110414420 in words is "four billion, one hundred ten million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 167 210 334 420 501 668 835 1002 1169 1670 2004 2338 2505 3340 3507 4676 5010 5845 7014 10020 11690 14028 17535 23380 35070 58603 70140 117206 175809 234412 293015 351618 410221 586030 703236 820442 879045 1172060 1230663 1640884 1758090 2051105 2461326 3516180 4102210 4922652 6153315 8204420 9786701 12306630 19573402 24613260 29360103 39146804 48933505 58720206 68506907 97867010 117440412 137013814 146800515 195734020 205520721 274027628 293601030 342534535 411041442 587202060 685069070 822082884 1027603605 1370138140 2055207210 4110414420