Search a number
-
+
40356298752 = 214371110663
BaseRepresentation
bin100101100101011011…
…000100000000000000
310212011111111101111120
4211211123010000000
51130122203030002
630312303312240
72626031610450
oct454533040000
9125144441446
1040356298752
111612a095620
1279a32ab680
133a61b32723
141d4ba37d60
1510b2e16cbc
hex9656c4000

40356298752 has 240 divisors, whose sum is σ = 134180078592. Its totient is φ = 10481172480.

The previous prime is 40356298733. The next prime is 40356298753. The reversal of 40356298752 is 25789265304.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40356298695 and 40356298704.

It is not an unprimeable number, because it can be changed into a prime (40356298753) by changing a digit.

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, 3779373 + ... + 3790035.

Almost surely, 240356298752 is an apocalyptic number.

40356298752 is a gapful number since it is divisible by the number (42) 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 40356298752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67090039296).

40356298752 is an abundant number, since it is smaller than the sum of its proper divisors (93823779840).

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

40356298752 is a wasteful number, since it uses less digits than its factorization.

40356298752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712 (or 10686 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 40356298752 in words is "forty billion, three hundred fifty-six million, two hundred ninety-eight thousand, seven hundred fifty-two".