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4240203142131 = 32111719322935693
BaseRepresentation
bin111101101100111111110…
…011010101001111110011
3120000100201001021121112200
4331230333303111033303
51023432414001022011
613003531124554243
7615226121013045
oct75547763251763
916010631247480
104240203142131
11139529514a570
12585943552983
13249b072b46b8
1410932698ba95
157546db91856
hex3db3fcd53f3

4240203142131 has 96 divisors (see below), whose sum is σ = 7115570235072. Its totient is φ = 2404650516480.

The previous prime is 4240203142129. The next prime is 4240203142139. The reversal of 4240203142131 is 1312413020424.

4240203142131 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 203 + 1 + 421 + 31 = 666.

It is not a de Polignac number, because 4240203142131 - 21 = 4240203142129 is a prime.

It is a super-2 number, since 2×42402031421312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4240203142095 and 4240203142104.

It is not an unprimeable number, because it can be changed into a prime (4240203142139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744807121 + ... + 744812813.

It is an arithmetic number, because the mean of its divisors is an integer number (74120523282).

Almost surely, 24240203142131 is an apocalyptic number.

4240203142131 is a deficient number, since it is larger than the sum of its proper divisors (2875367092941).

4240203142131 is a wasteful number, since it uses less digits than its factorization.

4240203142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4240203142131 its reverse (1312413020424), we get a palindrome (5552616162555).

The spelling of 4240203142131 in words is "four trillion, two hundred forty billion, two hundred three million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 193 561 579 1683 1737 2123 2293 3281 5693 6369 6879 9843 17079 19107 20637 25223 29529 36091 38981 51237 62623 75669 96781 108273 116943 187869 227007 290343 324819 350829 428791 442549 563607 871029 1064591 1098749 1286373 1327647 3193773 3296247 3859119 3982941 4868039 7523333 9581319 9888741 12086239 13054049 14604117 18678733 22569999 36258717 39162147 43812351 56036199 67709997 82756663 108776151 117486441 143594539 168108597 205466063 221918833 248269989 430783617 616398189 665756499 744809967 1292350851 1849194567 1997269497 2441107163 2519431457 7323321489 7558294371 21969964467 22674883113 27713746027 42830334769 83141238081 128491004307 249423714243 385473012921 471133682459 1413401047377 4240203142131