Search a number
-
+
42242946075 = 32521117067857
BaseRepresentation
bin100111010101111000…
…000011010000011011
311001000222120000002100
4213111320003100123
51143003143233300
631223420534443
73023551055121
oct472570032033
9131028500070
1042242946075
1116a08050690
12822b0b1423
133ca296c6a5
14208a427911
151173888700
hex9d5e0341b

42242946075 has 36 divisors (see below), whose sum is σ = 82540161288. Its totient is φ = 20481427200.

The previous prime is 42242946061. The next prime is 42242946101. The reversal of 42242946075 is 57064924224.

It is not a de Polignac number, because 42242946075 - 27 = 42242945947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42242946075.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8531454 + ... + 8536403.

It is an arithmetic number, because the mean of its divisors is an integer number (2292782258).

Almost surely, 242242946075 is an apocalyptic number.

42242946075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42242946075 is a deficient number, since it is larger than the sum of its proper divisors (40297215213).

42242946075 is a wasteful number, since it uses less digits than its factorization.

42242946075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17067884 (or 17067876 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42242946075 in words is "forty-two billion, two hundred forty-two million, nine hundred forty-six thousand, seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 17067857 51203571 85339285 153610713 187746427 256017855 426696425 563239281 768053565 938732135 1280089275 1689717843 2816196405 3840267825 4693660675 8448589215 14080982025 42242946075