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144013101312420 = 223251942109093951
BaseRepresentation
bin100000101111101010101001…
…101111110010100110100100
3200212220111222122100212111200
4200233222221233302212210
5122334002312413444140
61230142412211402500
742222413621436264
oct4057525157624644
9625814878325450
10144013101312420
114198368230583a
121419a8542b3430
1362484b9890ab2
14277c3b26097a4
15119b1a075c030
hex82faa9bf29a4

144013101312420 has 72 divisors (see below), whose sum is σ = 459831305955840. Its totient is φ = 36382257172800.

The previous prime is 144013101312371. The next prime is 144013101312463. The reversal of 144013101312420 is 24213101310441.

It is a happy number.

144013101312420 is a `hidden beast` number, since 1 + 4 + 401 + 3 + 1 + 0 + 13 + 1 + 242 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21054543556 + ... + 21054550395.

Almost surely, 2144013101312420 is an apocalyptic number.

144013101312420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144013101312420 is an abundant number, since it is smaller than the sum of its proper divisors (315818204643420).

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

144013101312420 is a wasteful number, since it uses less digits than its factorization.

144013101312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42109093985 (or 42109093980 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 144013101312420 its reverse (24213101310441), we get a palindrome (168226202622861).

The spelling of 144013101312420 in words is "one hundred forty-four trillion, thirteen billion, one hundred one million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 42109093951 84218187902 126327281853 168436375804 210545469755 252654563706 378981845559 421090939510 505309127412 631636409265 757963691118 800072785069 842181879020 1263272818530 1515927382236 1600145570138 1894909227795 2400218355207 2526545637060 3200291140276 3789818455590 4000363925345 4800436710414 7200655065621 7579636911180 8000727850690 9600873420828 12001091776035 14401310131242 16001455701380 24002183552070 28802620262484 36003275328105 48004367104140 72006550656210 144013101312420