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430144512112 = 24719475637639
BaseRepresentation
bin1100100001001101001…
…11000110000001110000
31112010021111210020201101
412100212213012001300
524021413443341422
6525334453414144
743035245011660
oct6204647060160
91463244706641
10430144512112
111564723aa527
126b44663a354
1331740930463
1416b678a81a0
15b2c806ac27
hex64269c6070

430144512112 has 160 divisors (see below), whose sum is σ = 1025877196800. Its totient is φ = 170603345664.

The previous prime is 430144512059. The next prime is 430144512163. The reversal of 430144512112 is 211215441034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 56305189 + ... + 56312827.

It is an arithmetic number, because the mean of its divisors is an integer number (6411732480).

Almost surely, 2430144512112 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 430144512112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512938598400).

430144512112 is an abundant number, since it is smaller than the sum of its proper divisors (595732684688).

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

430144512112 is a wasteful number, since it uses less digits than its factorization.

430144512112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 430144512112 its reverse (211215441034), we get a palindrome (641359953146).

The spelling of 430144512112 in words is "four hundred thirty billion, one hundred forty-four million, five hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 47 56 76 94 112 133 152 188 266 304 329 376 532 563 658 752 893 1064 1126 1316 1786 2128 2252 2632 3572 3941 4504 5264 6251 7144 7639 7882 9008 10697 12502 14288 15278 15764 21394 25004 26461 30556 31528 42788 50008 52922 53473 61112 63056 74879 85576 100016 105844 106946 122224 145141 149758 171152 185227 211688 213892 290282 299516 359033 370454 423376 427784 502759 580564 599032 718066 740908 855568 1005518 1015987 1161128 1198064 1436132 1481816 2011036 2031974 2322256 2513231 2872264 2963632 3519313 4022072 4063948 4300757 5026462 5744528 6821627 7038626 8044144 8127896 8601514 10052924 13643254 14077252 16255792 17203028 20105848 27286508 28154504 30105299 34406056 40211696 47751389 54573016 56309008 60210598 68812112 81714383 95502778 109146032 120421196 163428766 191005556 202135579 240842392 326857532 382011112 404271158 481684784 572000681 653715064 764022224 808542316 1144001362 1307430128 1414949053 1617084632 2288002724 2829898106 3234169264 3840576001 4576005448 5659796212 7681152002 9152010896 11319592424 15362304004 22639184848 26884032007 30724608008 53768064014 61449216016 107536128028 215072256056 430144512112