Search a number
-
+
40495983360 = 283572373577
BaseRepresentation
bin100101101101101111…
…111010101100000000
310212112020100002202120
4211231233322230000
51130413432431420
630334213244240
72632346115300
oct455557725400
9125466302676
1040495983360
11161a0a21748
127a22033680
133a84a5c341
141d623d9600
1510c0309d40
hex96dbfab00

40495983360 has 432 divisors, whose sum is σ = 151114604256. Its totient is φ = 9215410176.

The previous prime is 40495983343. The next prime is 40495983371. The reversal of 40495983360 is 6338959404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70183392 + ... + 70183968.

Almost surely, 240495983360 is an apocalyptic number.

40495983360 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 40495983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75557302128).

40495983360 is an abundant number, since it is smaller than the sum of its proper divisors (110618620896).

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

40495983360 is a wasteful number, since it uses less digits than its factorization.

40495983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 40495983360 in words is "forty billion, four hundred ninety-five million, nine hundred eighty-three thousand, three hundred sixty".