Search a number
-
+
40024173502080 = 27325137340714887
BaseRepresentation
bin10010001100110110110101…
…01001001101111010000000
312020201021101110122011010100
421012123122221031322000
520221224001404031310
6221042503530202400
711300436221320125
oct1106333251157200
9166637343564110
1040024173502080
111183117a571a69
1245a4b52883400
131944356801151
149c5274b9a74c
154961c2080ec0
hex2466daa4de80

40024173502080 has 384 divisors, whose sum is σ = 139267511585280. Its totient is φ = 10591385665536.

The previous prime is 40024173502073. The next prime is 40024173502081. The reversal of 40024173502080 is 8020537142004.

It is a happy number.

40024173502080 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 4 + 1 + 73 + 502 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40024173502081) 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, 2688524397 + ... + 2688539283.

It is an arithmetic number, because the mean of its divisors is an integer number (362675811420).

Almost surely, 240024173502080 is an apocalyptic number.

40024173502080 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 40024173502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69633755792640).

40024173502080 is an abundant number, since it is smaller than the sum of its proper divisors (99243338083200).

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

40024173502080 is a wasteful number, since it uses less digits than its factorization.

40024173502080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18456 (or 18441 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40024173502080 in words is "forty trillion, twenty-four billion, one hundred seventy-three million, five hundred two thousand, eighty".