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34232335341138 = 2331157630194177
BaseRepresentation
bin1111100100010010101100…
…01100000001011001010010
311111012120122022022200002000
413302021112030001121102
513441330310321404023
6200450041233534430
710132130116252044
oct762112614013122
9144176568280060
1034232335341138
11a9a8940957250
123a0a557a14416
1316141316b91ac
14864bd5043a94
153e56dcd85243
hex1f2256301652

34232335341138 has 32 divisors (see below), whose sum is σ = 82987479616320. Its totient is φ = 10373434951680.

The previous prime is 34232335341137. The next prime is 34232335341203. The reversal of 34232335341138 is 83114353323243.

34232335341138 is a `hidden beast` number, since 3 + 42 + 3 + 2 + 33 + 534 + 11 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34232335341093 and 34232335341102.

It is not an unprimeable number, because it can be changed into a prime (34232335341137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28815096495 + ... + 28815097682.

It is an arithmetic number, because the mean of its divisors is an integer number (2593358738010).

Almost surely, 234232335341138 is an apocalyptic number.

34232335341138 is an abundant number, since it is smaller than the sum of its proper divisors (48755144275182).

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

34232335341138 is a wasteful number, since it uses less digits than its factorization.

34232335341138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57630194199 (or 57630194193 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 34232335341138 in words is "thirty-four trillion, two hundred thirty-two billion, three hundred thirty-five million, three hundred forty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 57630194177 115260388354 172890582531 345781165062 518671747593 633932135947 1037343495186 1267864271894 1556015242779 1901796407841 3112030485558 3803592815682 5705389223523 11410778447046 17116167670569 34232335341138