Search a number
-
+
40232322224 = 24291014092099
BaseRepresentation
bin100101011110000010…
…001000010010110000
310211211212012201200022
4211132002020102300
51124343433302344
630252114143012
72622665045033
oct453602102260
9124755181608
1040232322224
1116076108186
127969881a68
133a42245833
141d393a501a
1510a70c80ee
hex95e0884b0

40232322224 has 80 divisors (see below), whose sum is σ = 81674460000. Its totient is φ = 19174041600.

The previous prime is 40232322209. The next prime is 40232322233. The reversal of 40232322224 is 42222323204.

It is a junction number, because it is equal to n+sod(n) for n = 40232322193 and 40232322202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19166327 + ... + 19168425.

It is an arithmetic number, because the mean of its divisors is an integer number (1020930750).

Almost surely, 240232322224 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 40232322224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40837230000).

40232322224 is an abundant number, since it is smaller than the sum of its proper divisors (41442137776).

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

40232322224 is a wasteful number, since it uses less digits than its factorization.

40232322224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 40232322224 its reverse (42222323204), we get a palindrome (82454645428).

The spelling of 40232322224 in words is "forty billion, two hundred thirty-two million, three hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 101 116 202 232 404 409 464 808 818 1616 1636 2099 2929 3272 4198 5858 6544 8396 11716 11861 16792 23432 23722 33584 41309 46864 47444 60871 82618 94888 121742 165236 189776 211999 243484 330472 423998 486968 660944 847996 858491 973936 1197961 1695992 1716982 2395922 3391984 3433964 4791844 6147971 6867928 9583688 12295942 13735856 19167376 24591884 24896239 49183768 49792478 86707591 98367536 99584956 173415182 199169912 346830364 398339824 693660728 1387321456 2514520139 5029040278 10058080556 20116161112 40232322224