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202404414030 = 235713229323759
BaseRepresentation
bin1011110010000000111…
…1100100001001001110
3201100102220121120110220
42330200033210021032
511304011012222110
6232552221012210
720423525063310
oct2744017441116
9640386546426
10202404414030
1178926019035
12332889b4066
13161184c1c80
149b2156d7b0
1553e95bd370
hex2f203e424e

202404414030 has 128 divisors (see below), whose sum is σ = 600484147200. Its totient is φ = 42518490624.

The previous prime is 202404414029. The next prime is 202404414031. The reversal of 202404414030 is 30414404202.

It is a happy number.

202404414030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202404414029) and next prime (202404414031).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202404414031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 463291 + ... + 787049.

It is an arithmetic number, because the mean of its divisors is an integer number (4691282400).

Almost surely, 2202404414030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202404414030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300242073600).

202404414030 is an abundant number, since it is smaller than the sum of its proper divisors (398079733170).

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

202404414030 is a wasteful number, since it uses less digits than its factorization.

202404414030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324018.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 202404414030 its reverse (30414404202), we get a palindrome (232818818232).

The spelling of 202404414030 in words is "two hundred two billion, four hundred four million, four hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 229 273 390 455 458 546 687 910 1145 1365 1374 1603 2290 2730 2977 3206 3435 4809 5954 6870 8015 8931 9618 14885 16030 17862 20839 24045 29770 41678 44655 48090 62517 89310 104195 125034 208390 312585 323759 625170 647518 971277 1618795 1942554 2266313 3237590 4208867 4532626 4856385 6798939 8417734 9712770 11331565 12626601 13597878 21044335 22663130 25253202 29462069 33994695 42088670 58924138 63133005 67989390 74140811 88386207 126266010 147310345 148281622 176772414 222422433 294620690 370704055 441931035 444844866 518985677 741408110 883862070 963830543 1037971354 1112112165 1556957031 1927661086 2224224330 2594928385 2891491629 3113914062 4819152715 5189856770 5782983258 6746813801 7784785155 9638305430 13493627602 14457458145 15569570310 20240441403 28914916290 33734069005 40480882806 67468138010 101202207015 202404414030