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144414102213 = 32175031876507
BaseRepresentation
bin1000011001111111000…
…0000101001011000101
3111210202110121111122100
42012133300011023011
54331230002232323
6150202023222313
713301500420653
oct2063760051305
9453673544570
10144414102213
1156277aa54a7
1223ba3ba7999
1310806221ab4
146dbd977dd3
153b534e3943
hex219fc052c5

144414102213 has 24 divisors (see below), whose sum is σ = 221307847488. Its totient is φ = 90432577152.

The previous prime is 144414102163. The next prime is 144414102317. The reversal of 144414102213 is 312201414441.

144414102213 is a `hidden beast` number, since 1 + 4 + 441 + 4 + 1 + 0 + 2 + 213 = 666.

It is not a de Polignac number, because 144414102213 - 212 = 144414098117 is a prime.

It is a super-2 number, since 2×1444141022132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144414122213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861295 + ... + 1015212.

It is an arithmetic number, because the mean of its divisors is an integer number (9221160312).

Almost surely, 2144414102213 is an apocalyptic number.

It is an amenable number.

144414102213 is a deficient number, since it is larger than the sum of its proper divisors (76893745275).

144414102213 is a wasteful number, since it uses less digits than its factorization.

144414102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877033 (or 1877030 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144414102213 its reverse (312201414441), we get a palindrome (456615516654).

The spelling of 144414102213 in words is "one hundred forty-four billion, four hundred fourteen million, one hundred two thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 153 503 1509 4527 8551 25653 76959 1876507 5629521 16888563 31900619 95701857 287105571 943883021 2831649063 8494947189 16046011357 48138034071 144414102213