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241143130431 = 3377935414561
BaseRepresentation
bin1110000010010101000…
…0000010100100111111
3212001102200100021011000
43200211100002210333
512422330120133211
6302440222101343
723264515534410
oct3404520024477
9761380307130
10241143130431
11932a5013035
123a89a41a853
1319980173a78
14b958417807
1564154b1656
hex382540293f

241143130431 has 64 divisors (see below), whose sum is σ = 413660262400. Its totient is φ = 135983577600.

The previous prime is 241143130409. The next prime is 241143130439. The reversal of 241143130431 is 134031341142.

It is not a de Polignac number, because 241143130431 - 25 = 241143130399 is a prime.

It is a super-2 number, since 2×2411431304312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 241143130395 and 241143130404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241143130439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52868391 + ... + 52872951.

It is an arithmetic number, because the mean of its divisors is an integer number (6463441600).

Almost surely, 2241143130431 is an apocalyptic number.

241143130431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

241143130431 is a deficient number, since it is larger than the sum of its proper divisors (172517131969).

241143130431 is a wasteful number, since it uses less digits than its factorization.

241143130431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8191 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 241143130431 its reverse (134031341142), we get a palindrome (375174471573).

The spelling of 241143130431 in words is "two hundred forty-one billion, one hundred forty-three million, one hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 79 189 237 553 711 1659 2133 3541 4561 4977 10623 13683 14931 24787 31869 31927 41049 74361 95607 95781 123147 223083 279739 287343 360319 669249 839217 862029 1080957 1958173 2517651 2522233 3242871 5874519 7552953 7566699 9728613 16150501 17623557 22700097 48451503 52870671 68100291 113053507 145354509 339160521 436063527 1017481563 1275889579 3052444689 3827668737 8931227053 11483006211 26793681159 34449018633 80381043477 241143130431