Search a number
-
+
40158506080 = 25571143179
BaseRepresentation
bin100101011001101000…
…100010110001100000
310211122201022110222001
4211121220202301200
51124221034143310
630240520053344
72621110445440
oct453150426140
9124581273861
1040158506080
1116038480000
127949004254
133a2cb6c044
141d2d66c120
1510a089693a
hex959a22c60

40158506080 has 480 divisors, whose sum is σ = 124675891200. Its totient is φ = 11959833600.

The previous prime is 40158506057. The next prime is 40158506081. The reversal of 40158506080 is 8060585104.

It is a super-2 number, since 2×401585060802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40158506081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 508335481 + ... + 508335559.

It is an arithmetic number, because the mean of its divisors is an integer number (259741440).

Almost surely, 240158506080 is an apocalyptic number.

40158506080 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 40158506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62337945600).

40158506080 is an abundant number, since it is smaller than the sum of its proper divisors (84517385120).

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

40158506080 is an equidigital number, since it uses as much as digits as its factorization.

40158506080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 40158506080 in words is "forty billion, one hundred fifty-eight million, five hundred six thousand, eighty".