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1042444214433 = 33257543727631
BaseRepresentation
bin11110010101101101000…
…01000110000010100001
310200122201201200220212000
433022312201012002201
5114034411204330213
62114520421154213
7135212511423306
oct17126641060241
93618651626760
101042444214433
11372109645466
1214a04855b969
13773c084791b
14386514a30ad
151c1b2b09c73
hexf2b68460a1

1042444214433 has 32 divisors (see below), whose sum is σ = 1550712261120. Its totient is φ = 692106301440.

The previous prime is 1042444214429. The next prime is 1042444214479. The reversal of 1042444214433 is 3344124442401.

1042444214433 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 4 + 4 + 4 + 214 + 433 = 666.

It is not a de Polignac number, because 1042444214433 - 22 = 1042444214429 is a prime.

It is a super-2 number, since 2×10424442144332 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1042444254433) 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 31 ways as a sum of consecutive naturals, for example, 37713528 + ... + 37741158.

It is an arithmetic number, because the mean of its divisors is an integer number (48459758160).

Almost surely, 21042444214433 is an apocalyptic number.

It is an amenable number.

1042444214433 is a deficient number, since it is larger than the sum of its proper divisors (508268046687).

1042444214433 is a wasteful number, since it uses less digits than its factorization.

1042444214433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33334 (or 33328 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1042444214433 its reverse (3344124442401), we get a palindrome (4386568656834).

The spelling of 1042444214433 in words is "one trillion, forty-two billion, four hundred forty-four million, two hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 3 9 27 257 771 2313 5437 6939 16311 27631 48933 82893 146799 248679 746037 1397309 4191927 7101167 12575781 21303501 37727343 63910503 150229747 191731509 450689241 1352067723 4056203169 38609044979 115827134937 347481404811 1042444214433