Search a number
-
+
150064040224 = 2572329127337
BaseRepresentation
bin1000101111000010000…
…0111000100100100000
3112100100012222002112201
42023300200320210200
54424312343241344
6152534413102544
713561504203310
oct2136040704440
9470305862481
10150064040224
115870726955a
1225100187a54
13111c6912397
1473980a1440
153d8452e4d4
hex22f0838920

150064040224 has 48 divisors (see below), whose sum is σ = 352324280448. Its totient is φ = 61516933632.

The previous prime is 150064040219. The next prime is 150064040237. The reversal of 150064040224 is 422040460051.

150064040224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 150064040192 and 150064040201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14558517 + ... + 14568820.

It is an arithmetic number, because the mean of its divisors is an integer number (7340089176).

Almost surely, 2150064040224 is an apocalyptic number.

150064040224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

150064040224 is an abundant number, since it is smaller than the sum of its proper divisors (202260240224).

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

150064040224 is a wasteful number, since it uses less digits than its factorization.

150064040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29127377 (or 29127369 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 150064040224 in words is "one hundred fifty billion, sixty-four million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 29127337 58254674 116509348 203891359 233018696 407782718 466037392 669928751 815565436 932074784 1339857502 1631130872 2679715004 3262261744 4689501257 5359430008 6524523488 9379002514 10718860016 18758005028 21437720032 37516010056 75032020112 150064040224