Search a number
-
+
40235113061388 = 223372931293920143
BaseRepresentation
bin10010010010111111101111…
…00111110001110000001100
312021110102212012122000211000
421021133313213301300030
520233203002420431023
6221323431125100300
711321614416066060
oct1111376747616014
9167412765560730
1040235113061388
1111902685439a73
124619a01b57690
13195b20237522b
149d1565ad7aa0
1549b91ab06243
hex2497f79f1c0c

40235113061388 has 384 divisors, whose sum is σ = 127353913344000. Its totient is φ = 10737110442240.

The previous prime is 40235113061371. The next prime is 40235113061413. The reversal of 40235113061388 is 88316031153204.

It is a happy number.

40235113061388 is a `hidden beast` number, since 4 + 0 + 23 + 5 + 1 + 1 + 3 + 0 + 613 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1997463645 + ... + 1997483787.

It is an arithmetic number, because the mean of its divisors is an integer number (331650816000).

Almost surely, 240235113061388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40235113061388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63676956672000).

40235113061388 is an abundant number, since it is smaller than the sum of its proper divisors (87118800282612).

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

40235113061388 is a wasteful number, since it uses less digits than its factorization.

40235113061388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23162 (or 23154 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40235113061388 in words is "forty trillion, two hundred thirty-five billion, one hundred thirteen million, sixty-one thousand, three hundred eighty-eight".