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144001430311240 = 23519253188158457
BaseRepresentation
bin100000101111011111110010…
…000110011101000101001000
3200212212101212021022120200201
4200233133302012131011020
5122333304412124424430
61230133202133341544
742221521453530625
oct4057376206350510
9625771767276621
10144001430311240
1141979733334917
12141985377978b4
13624737993b438
14277b9c658d34c
15119ac1ad278ca
hex82f7f219d148

144001430311240 has 96 divisors (see below), whose sum is σ = 348405490340280. Its totient is φ = 53539359704064.

The previous prime is 144001430311229. The next prime is 144001430311279. The reversal of 144001430311240 is 42113034100441.

It can be written as a sum of positive squares in 4 ways, for example, as 84029818901284 + 59971611409956 = 9166778^2 + 7744134^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144001430311199 and 144001430311208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93313909 + ... + 94844548.

Almost surely, 2144001430311240 is an apocalyptic number.

144001430311240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144001430311240 is an abundant number, since it is smaller than the sum of its proper divisors (204404060029040).

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

144001430311240 is a wasteful number, since it uses less digits than its factorization.

144001430311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188158559 (or 188158536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 144001430311240 its reverse (42113034100441), we get a palindrome (186114464411681).

The spelling of 144001430311240 in words is "one hundred forty-four trillion, one billion, four hundred thirty million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 152 190 212 265 361 380 424 530 722 760 1007 1060 1444 1805 2014 2120 2888 3610 4028 5035 7220 8056 10070 14440 19133 20140 38266 40280 76532 95665 153064 191330 382660 765320 188158457 376316914 752633828 940792285 1505267656 1881584570 3575010683 3763169140 7150021366 7526338280 9972398221 14300042732 17875053415 19944796442 28600085464 35750106830 39889592884 49861991105 67925202977 71500213660 79779185768 99723982210 135850405954 143000427320 189475566199 199447964420 271700811908 339626014885 378951132398 398895928840 543401623816 679252029770 757902264796 947377830995 1358504059540 1515804529592 1894755661990 2717008119080 3600035757781 3789511323980 7200071515562 7579022647960 14400143031124 18000178788905 28800286062248 36000357577810 72000715155620 144001430311240