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34434332022132 = 22327136644174691
BaseRepresentation
bin1111101010001010111100…
…01000001101010101110100
311111220220000210201020222100
413311011132020031111310
514003133002444202012
6201122525211502100
710152540563565330
oct765053610152564
9144826023636870
1034434332022132
11aa765777a8429
123a41730157930
13162a1b358cac3
148708b83987c0
153eaab17638dc
hex1f515e20d574

34434332022132 has 36 divisors (see below), whose sum is σ = 99476959175776. Its totient is φ = 9838380577680.

The previous prime is 34434332022127. The next prime is 34434332022151. The reversal of 34434332022132 is 23122023343443.

34434332022132 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 433 + 2 + 0 + 2 + 213 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×344343320221323 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68322087094 + ... + 68322087597.

Almost surely, 234434332022132 is an apocalyptic number.

It is an amenable number.

34434332022132 is an abundant number, since it is smaller than the sum of its proper divisors (65042627153644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34434332022132 is a wasteful number, since it uses less digits than its factorization.

34434332022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136644174708 (or 136644174703 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 34434332022132 its reverse (23122023343443), we get a palindrome (57556355365575).

The spelling of 34434332022132 in words is "thirty-four trillion, four hundred thirty-four billion, three hundred thirty-two million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 136644174691 273288349382 409932524073 546576698764 819865048146 956509222837 1229797572219 1639730096292 1913018445674 2459595144438 2869527668511 3826036891348 4919190288876 5739055337022 8608583005533 11478110674044 17217166011066 34434332022132