Search a number
-
+
42234052003245 = 32523333569119993
BaseRepresentation
bin10011001101001011000011…
…01010101100010110101101
312112112112110200220112122100
421212211201222230112231
521013430314303100440
6225454020004005313
711616211115541144
oct1146454152542655
9175475420815570
1042234052003245
11125033a73530a3
1248a12aa690839
131a74866b4193b
14a601d36a475b
154d3910891230
hex266961aac5ad

42234052003245 has 48 divisors (see below), whose sum is σ = 73522680482160. Its totient is φ = 22427299627008.

The previous prime is 42234052003243. The next prime is 42234052003259. The reversal of 42234052003245 is 54230025043224.

42234052003245 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 405 + 2 + 0 + 0 + 3 + 245 = 666.

42234052003245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19466467574724 + 22767584428521 = 4412082^2 + 4771539^2 .

It is not a de Polignac number, because 42234052003245 - 21 = 42234052003243 is a prime.

It is a super-2 number, since 2×422340520032452 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42234052003243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 351910969 + ... + 352030961.

It is an arithmetic number, because the mean of its divisors is an integer number (1531722510045).

Almost surely, 242234052003245 is an apocalyptic number.

42234052003245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42234052003245 is a deficient number, since it is larger than the sum of its proper divisors (31288628478915).

42234052003245 is a wasteful number, since it uses less digits than its factorization.

42234052003245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153806 (or 153803 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 42234052003245 its reverse (54230025043224), we get a palindrome (96464077046469).

The spelling of 42234052003245 in words is "forty-two trillion, two hundred thirty-four billion, fifty-two million, three thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 233 699 1165 2097 3495 10485 33569 100707 119993 167845 302121 359979 503535 599965 1079937 1510605 1799895 5399685 7821577 23464731 27958369 39107885 70394193 83875107 117323655 139791845 251625321 351970965 419375535 1258126605 4028045017 12084135051 20140225085 36252405153 60420675255 181262025765 938534488961 2815603466883 4692672444805 8446810400649 14078017334415 42234052003245