Search a number
-
+
40141443024 = 2433347267781
BaseRepresentation
bin100101011000100111…
…011100111111010000
310211121112012120212000
4211120213130333100
51124202202134044
630235110234000
72620512431064
oct453047347720
9124545176760
1040141443024
1116029886301
127943355900
133a29476667
141d2b2a9aa4
15109e125d69
hex9589dcfd0

40141443024 has 80 divisors (see below), whose sum is σ = 115553288640. Its totient is φ = 13341870720.

The previous prime is 40141442983. The next prime is 40141443047. The reversal of 40141443024 is 42034414104.

It is a super-2 number, since 2×401414430242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16014 + ... + 283794.

It is an arithmetic number, because the mean of its divisors is an integer number (1444416108).

Almost surely, 240141443024 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 40141443024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57776644320).

40141443024 is an abundant number, since it is smaller than the sum of its proper divisors (75411845616).

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

40141443024 is a wasteful number, since it uses less digits than its factorization.

40141443024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268145 (or 268133 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40141443024 its reverse (42034414104), we get a palindrome (82175857128).

The spelling of 40141443024 in words is "forty billion, one hundred forty-one million, four hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 347 432 694 1041 1388 2082 2776 3123 4164 5552 6246 8328 9369 12492 16656 18738 24984 37476 49968 74952 149904 267781 535562 803343 1071124 1606686 2142248 2410029 3213372 4284496 4820058 6426744 7230087 9640116 12853488 14460174 19280232 28920348 38560464 57840696 92920007 115681392 185840014 278760021 371680028 557520042 743360056 836280063 1115040084 1486720112 1672560126 2230080168 2508840189 3345120252 4460160336 5017680378 6690240504 10035360756 13380481008 20070721512 40141443024