Search a number
-
+
42006272274 = 235269321311
BaseRepresentation
bin100111000111110001…
…001101100100010010
311000102111012201200000
4213013301031210102
51142012101203044
631144124110430
73014645265051
oct470761154422
9130374181600
1042006272274
11168a649a0aa
128183995416
133c65914815
142066c1a398
15115cbd7d69
hex9c7c4d912

42006272274 has 48 divisors (see below), whose sum is σ = 94735630080. Its totient is φ = 13949994960.

The previous prime is 42006272261. The next prime is 42006272291. The reversal of 42006272274 is 47227260024.

42006272274 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 627 + 2 + 27 + 4 = 666.

It is a super-2 number, since 2×420062722742 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 29922 + ... + 291389.

It is an arithmetic number, because the mean of its divisors is an integer number (1973658960).

Almost surely, 242006272274 is an apocalyptic number.

42006272274 is an abundant number, since it is smaller than the sum of its proper divisors (52729357806).

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

42006272274 is a wasteful number, since it uses less digits than its factorization.

42006272274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321597 (or 321585 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 42006272274 in words is "forty-two billion, six million, two hundred seventy-two thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 269 486 538 807 1614 2421 4842 7263 14526 21789 43578 65367 130734 321311 642622 963933 1927866 2891799 5783598 8675397 17350794 26026191 52052382 78078573 86432659 156157146 172865318 259297977 518595954 777893931 1555787862 2333681793 4667363586 7001045379 14002090758 21003136137 42006272274