Search a number
-
+
40761999360 = 2143456143
BaseRepresentation
bin100101111101100110…
…101100000000000000
310220012202220010010000
4211331212230000000
51131440032434420
630420435040000
72642056164165
oct457546540000
9126182803100
1040761999360
11163180a4485
127a97140000
133ac7bbb964
141d8988406c
1510d8854690
hex97d9ac000

40761999360 has 300 divisors, whose sum is σ = 146158645248. Its totient is φ = 10868097024.

The previous prime is 40761999337. The next prime is 40761999361. The reversal of 40761999360 is 6399916704.

40761999360 is a `hidden beast` number, since 407 + 6 + 1 + 99 + 93 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40761999297 and 40761999306.

It is not an unprimeable number, because it can be changed into a prime (40761999361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6632449 + ... + 6638591.

Almost surely, 240761999360 is an apocalyptic number.

40761999360 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 40761999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73079322624).

40761999360 is an abundant number, since it is smaller than the sum of its proper divisors (105396645888).

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

40761999360 is an frugal number, since it uses more digits than its factorization.

40761999360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6188 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 40761999360 in words is "forty billion, seven hundred sixty-one million, nine hundred ninety-nine thousand, three hundred sixty".