Search a number
-
+
34213021524351 = 32174334914900681
BaseRepresentation
bin1111100011101110101101…
…11111101010000101111111
311111010201210021222010020100
413301313112333222011333
513441021232002234401
6200433124535452143
710130544365442225
oct761672677520577
9144121707863210
1034213021524351
11a9a072a79a89a
123a06867827053
131612374223a37
14863cc1d3ab15
153e4e5c4acb86
hex1f1dd6fea17f

34213021524351 has 48 divisors (see below), whose sum is σ = 53696097655200. Its totient is φ = 20907680532480.

The previous prime is 34213021524323. The next prime is 34213021524359. The reversal of 34213021524351 is 15342512031243.

34213021524351 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 3 + 0 + 215 + 2 + 435 + 1 = 666.

It is not a de Polignac number, because 34213021524351 - 227 = 34212887306623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213021524359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5154270 + ... + 9746411.

It is an arithmetic number, because the mean of its divisors is an integer number (1118668701150).

Almost surely, 234213021524351 is an apocalyptic number.

34213021524351 is a deficient number, since it is larger than the sum of its proper divisors (19483076130849).

34213021524351 is a wasteful number, since it uses less digits than its factorization.

34213021524351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14901096 (or 14901093 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 34213021524351 its reverse (15342512031243), we get a palindrome (49555533555594).

The spelling of 34213021524351 in words is "thirty-four trillion, two hundred thirteen billion, twenty-one million, five hundred twenty-four thousand, three hundred fifty-one".

Divisors: 1 3 9 17 43 51 129 153 349 387 731 1047 2193 3141 5933 6579 15007 17799 45021 53397 135063 255119 765357 2296071 14900681 44702043 134106129 253311577 640729283 759934731 1922187849 2279804193 5200337669 5766563547 10892397811 15601013007 32677193433 46803039021 88405740373 98031580299 223614519767 265217221119 670843559301 795651663357 2012530677903 3801446836039 11404340508117 34213021524351