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431244143130114 = 2323113131118969563
BaseRepresentation
bin110001000001101101101100…
…1111101100111011000000010
32002112220112111210202100011100
41202003123121331213120002
5423011001001120130424
64125102454023155230
7156556234611420126
oct14203333175473002
92075815453670140
10431244143130114
11115453683315856
124044a006ba5b16
13156821c07b0922
14786c483a5b586
1534cc9b31c3dc9
hex18836d9f67602

431244143130114 has 96 divisors (see below), whose sum is σ = 974990669672448. Its totient is φ = 137605202748000.

The previous prime is 431244143130061. The next prime is 431244143130187. The reversal of 431244143130114 is 411031341442134.

431244143130114 is a `hidden beast` number, since 4 + 3 + 124 + 414 + 3 + 1 + 3 + 0 + 114 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13248697 + ... + 32218259.

It is an arithmetic number, because the mean of its divisors is an integer number (10156152809088).

Almost surely, 2431244143130114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431244143130114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487495334836224).

431244143130114 is an abundant number, since it is smaller than the sum of its proper divisors (543746526542334).

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

431244143130114 is a wasteful number, since it uses less digits than its factorization.

431244143130114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18970044 (or 18970041 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 431244143130114 its reverse (411031341442134), we get a palindrome (842275484572248).

The spelling of 431244143130114 in words is "four hundred thirty-one trillion, two hundred forty-four billion, one hundred forty-three million, one hundred thirty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 131 186 262 279 311 393 558 622 786 933 1179 1866 2358 2799 4061 5598 8122 9641 12183 19282 24366 28923 36549 40741 57846 73098 81482 86769 122223 173538 244446 366669 733338 1262971 2525942 3788913 7577826 11366739 18969563 22733478 37939126 56908689 113817378 170726067 341452134 588056453 1176112906 1764169359 2485012753 3528338718 4970025506 5292508077 5899534093 7455038259 10585016154 11799068186 14910076518 17698602279 22365114777 35397204558 44730229554 53095806837 77035395343 106191613674 154070790686 182885556883 231106186029 365771113766 462212372058 548656670649 693318558087 772838966183 1097313341298 1386637116174 1545677932366 1645970011947 2318516898549 3291940023894 4637033797098 6955550695647 13911101391294 23958007951673 47916015903346 71874023855019 143748047710038 215622071565057 431244143130114