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11442434031 = 3374310912917
BaseRepresentation
bin10101010100000010…
…11010111111101111
31002112102221212122000
422222001122333233
5141413230342111
65131231023343
7553361040660
oct125201327757
932472855560
1011442434031
114941a57056
12227406ab53
1311047a5632
147a795d367
1546e835c56
hex2aa05afef

11442434031 has 64 divisors (see below), whose sum is σ = 20007398400. Its totient is φ = 6327393408.

The previous prime is 11442433987. The next prime is 11442434063. The reversal of 11442434031 is 13043424411.

11442434031 is a `hidden beast` number, since 1 + 14 + 4 + 243 + 403 + 1 = 666.

It is not a de Polignac number, because 11442434031 - 215 = 11442401263 is a prime.

It is a super-2 number, since 2×114424340312 (a number of 21 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 = 11442433986 and 11442434004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442434231) 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, 879385 + ... + 892301.

It is an arithmetic number, because the mean of its divisors is an integer number (312615600).

Almost surely, 211442434031 is an apocalyptic number.

11442434031 is a deficient number, since it is larger than the sum of its proper divisors (8564964369).

11442434031 is a wasteful number, since it uses less digits than its factorization.

11442434031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13085 (or 13079 counting only the distinct ones).

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

Adding to 11442434031 its reverse (13043424411), we get a palindrome (24485858442).

The spelling of 11442434031 in words is "eleven billion, four hundred forty-two million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 27 43 63 109 129 189 301 327 387 763 903 981 1161 2289 2709 2943 4687 6867 8127 12917 14061 20601 32809 38751 42183 90419 98427 116253 126549 271257 295281 348759 555431 813771 885843 1407953 1666293 2441313 3888017 4223859 4998879 9855671 11664051 12671577 14996637 29567013 34992153 38014731 60541979 88701039 104976459 181625937 266103117 423793853 544877811 1271381559 1634633433 3814144677 11442434031