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42244002333 = 3813523947
BaseRepresentation
bin100111010101111100…
…000101001000011101
311001001001112200000000
4213111330011020131
51143003431033313
631223455324513
73023563044441
oct472574051035
9131031480000
1042244002333
1116a08702225
12822b520739
133ca2c4c3b0
14208a620821
1511739e6673
hex9d5f0521d

42244002333 has 72 divisors (see below), whose sum is σ = 68439510048. Its totient is φ = 25919204256.

The previous prime is 42244002293. The next prime is 42244002347. The reversal of 42244002333 is 33320044224.

42244002333 is a `hidden beast` number, since 4 + 2 + 24 + 400 + 233 + 3 = 666.

42244002333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42244002333 - 213 = 42243994141 is a prime.

It is a super-2 number, since 2×422440023332 (a number of 22 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 = 42244002297 and 42244002306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42244202333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44607766 + ... + 44608712.

Almost surely, 242244002333 is an apocalyptic number.

It is an amenable number.

42244002333 is a deficient number, since it is larger than the sum of its proper divisors (26195507715).

42244002333 is an frugal number, since it uses more digits than its factorization.

42244002333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42244002333 its reverse (33320044224), we get a palindrome (75564046557).

The spelling of 42244002333 in words is "forty-two billion, two hundred forty-four million, two thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 243 351 523 729 947 1053 1569 2187 2841 3159 4707 6561 6799 8523 9477 12311 14121 20397 25569 28431 36933 42363 61191 76707 85293 110799 127089 183573 230121 332397 381267 495281 550719 690363 997191 1143801 1485843 1652157 2071089 2991573 3431403 4457529 4956471 6213267 6438653 8974719 13372587 14869413 19315959 26924157 40117761 44608239 57947877 80772471 120353283 173843631 361059849 521530893 1083179547 1564592679 3249538641 4693778037 14081334111 42244002333