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424410410130 = 235743315712971
BaseRepresentation
bin1100010110100001101…
…01001110110010010010
31111120110220001200112220
412023100311032302102
523423143031111010
6522545500001510
742443166651330
oct6132065166222
91446426050486
10424410410130
11153a9a680873
126a306230296
13310389823c5
1416782112b50
15b08e957970
hex62d0d4ec92

424410410130 has 128 divisors (see below), whose sum is σ = 1167921248256. Its totient is φ = 96689894400.

The previous prime is 424410410119. The next prime is 424410410143. The reversal of 424410410130 is 31014014424.

It is a self number, because there is not a number n which added to its sum of digits gives 424410410130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142849545 + ... + 142852515.

It is an arithmetic number, because the mean of its divisors is an integer number (9124384752).

Almost surely, 2424410410130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424410410130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583960624128).

424410410130 is an abundant number, since it is smaller than the sum of its proper divisors (743510838126).

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

424410410130 is a wasteful number, since it uses less digits than its factorization.

424410410130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 424410410130 its reverse (31014014424), we get a palindrome (455424424554).

The spelling of 424410410130 in words is "four hundred twenty-four billion, four hundred ten million, four hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 433 866 1299 1571 2165 2598 2971 3031 3142 4330 4713 5942 6062 6495 7855 8913 9093 9426 10997 12990 14855 15155 15710 17826 18186 20797 21994 23565 29710 30310 32991 41594 44565 45465 47130 54985 62391 65982 89130 90930 103985 109970 124782 164955 207970 311955 329910 623910 680243 1286443 1360486 2040729 2572886 3401215 3859329 4081458 4667441 4761701 6432215 6802430 7718658 9005101 9334882 9523402 10203645 12864430 14002323 14285103 18010202 19296645 20407290 23337205 23808505 27015303 28004646 28570206 32672087 38593290 45025505 46674410 47617010 54030606 65344174 70011615 71425515 90051010 98016261 135076515 140023230 142851030 163360435 196032522 270153030 326720870 490081305 980162610 2021001953 4042003906 6063005859 10105009765 12126011718 14147013671 20210019530 28294027342 30315029295 42441041013 60630058590 70735068355 84882082026 141470136710 212205205065 424410410130