Search a number
-
+
42265939503076 = 2223279217892
BaseRepresentation
bin10011001110000110011100…
…10011110110011111100100
312112122120202222212101000121
421213003032103312133210
521014441121003044301
6225520412103451324
711621420245035022
oct1147031623663744
9175576688771017
1042265939503076
111251597aa84743
1248a7509756b44
131a77879281a33
14a6197a681712
154d467a0593a1
hex2670ce4f67e4

42265939503076 has 81 divisors (see below), whose sum is σ = 78356038113801. Its totient is φ = 19947113623008.

The previous prime is 42265939503059. The next prime is 42265939503083. The reversal of 42265939503076 is 67030593956224.

The square root of 42265939503076 is 6501226.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39936408864676 + 2329530638400 = 6319526^2 + 1526280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23625454390 + ... + 23625456178.

Almost surely, 242265939503076 is an apocalyptic number.

42265939503076 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

42265939503076 is the 6501226-th square number.

It is an amenable number.

42265939503076 is a deficient number, since it is larger than the sum of its proper divisors (36090098610725).

42265939503076 is an frugal number, since it uses more digits than its factorization.

42265939503076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 61.

The spelling of 42265939503076 in words is "forty-two trillion, two hundred sixty-five billion, nine hundred thirty-nine million, five hundred three thousand, seventy-six".

Divisors: 1 2 4 23 46 79 92 158 316 529 1058 1789 1817 2116 3578 3634 6241 7156 7268 12482 24964 41147 41791 82294 83582 141331 143543 164588 167164 282662 287086 565324 574172 946381 1892762 3200521 3250613 3301489 3785524 6401042 6501226 6602978 11165149 12802084 13002452 13205956 22330298 44660596 73611983 74764099 147223966 149528198 252841159 256798427 294447932 299056396 505682318 513596854 1011364636 1027193708 1693075609 3386151218 5815346657 5906363821 6772302436 11630693314 11812727642 19974451561 23261386628 23625455284 39948903122 79897806244 133752973111 267505946222 459412385903 535011892444 918824771806 1837649543612 10566484875769 21132969751538 42265939503076