Search a number
-
+
40019771088 = 2435118531097
BaseRepresentation
bin100101010001010111…
…010011111011010000
310211022001021000100000
4211101113103323100
51123430030133323
630215042330000
72614504304313
oct452127237320
9124261230300
1040019771088
1115a77132390
12790a659900
133a0a1b572b
141d1907697a
1510935dee43
hex9515d3ed0

40019771088 has 240 divisors, whose sum is σ = 126970998336. Its totient is φ = 12101944320.

The previous prime is 40019771053. The next prime is 40019771089. The reversal of 40019771088 is 88017791004.

40019771088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40019771089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36480556 + ... + 36481652.

Almost surely, 240019771088 is an apocalyptic number.

40019771088 is a gapful number since it is divisible by the number (48) 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 40019771088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63485499168).

40019771088 is an abundant number, since it is smaller than the sum of its proper divisors (86951227248).

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

40019771088 is a wasteful number, since it uses less digits than its factorization.

40019771088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 40019771088 in words is "forty billion, nineteen million, seven hundred seventy-one thousand, eighty-eight".