Search a number
-
+
40507023360 = 213351719391
BaseRepresentation
bin100101101110011010…
…000010000000000000
310212120000002222210110
4211232122002000000
51130424244221420
630335250031320
72632542006006
oct455632020000
9125500088713
1040507023360
11161a7182211
127a25878540
133a8712639b
141d63a70a76
1510c128aee0
hex96e682000

40507023360 has 224 divisors, whose sum is σ = 137246026752. Its totient is φ = 10165944320.

The previous prime is 40507023353. The next prime is 40507023371. The reversal of 40507023360 is 6332070504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2079265 + ... + 2098655.

Almost surely, 240507023360 is an apocalyptic number.

40507023360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40507023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68623013376).

40507023360 is an abundant number, since it is smaller than the sum of its proper divisors (96739003392).

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

40507023360 is a wasteful number, since it uses less digits than its factorization.

40507023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19442 (or 19418 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

Adding to 40507023360 its reverse (6332070504), we get a palindrome (46839093864).

The spelling of 40507023360 in words is "forty billion, five hundred seven million, twenty-three thousand, three hundred sixty".