Search a number
-
+
40106658402 = 23219491238841
BaseRepresentation
bin100101010110100010…
…110000101001100010
310211112002202100022200
4211112202300221202
51124114301032102
630231424514030
72616610654146
oct452642605142
9124462670280
1040106658402
1116011188088
12793377b916
133a221b7945
141d26813226
15109b05451c
hex9568b0a62

40106658402 has 48 divisors (see below), whose sum is σ = 91658005920. Its totient is φ = 12639412800.

The previous prime is 40106658401. The next prime is 40106658419. The reversal of 40106658402 is 20485660104.

40106658402 is a `hidden beast` number, since 4 + 0 + 10 + 66 + 584 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (40106658401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48502 + ... + 287342.

It is an arithmetic number, because the mean of its divisors is an integer number (1909541790).

Almost surely, 240106658402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40106658402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45829002960).

40106658402 is an abundant number, since it is smaller than the sum of its proper divisors (51551347518).

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

40106658402 is a wasteful number, since it uses less digits than its factorization.

40106658402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239359 (or 239356 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40106658402 in words is "forty billion, one hundred six million, six hundred fifty-eight thousand, four hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 491 982 1473 2946 4419 8838 9329 18658 27987 55974 83961 167922 238841 477682 716523 1433046 2149569 4299138 4537979 9075958 13613937 27227874 40841811 81683622 117270931 234541862 351812793 703625586 1055438379 2110876758 2228147689 4456295378 6684443067 13368886134 20053329201 40106658402