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40122152322 = 2376116219661
BaseRepresentation
bin100101010111011101…
…110111010110000010
310211120011220111222120
4211113131313112002
51124132232333242
630233140545110
72620156445010
oct452735672602
9124504814876
1040122152322
11160199aa97a
1279389b2196
133a25481045
141d288c78b0
15109c5b51ec
hex957777582

40122152322 has 64 divisors (see below), whose sum is σ = 93278339328. Its totient is φ = 11267424000.

The previous prime is 40122152309. The next prime is 40122152339. The reversal of 40122152322 is 22325122104.

It is a junction number, because it is equal to n+sod(n) for n = 40122152292 and 40122152301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4148172 + ... + 4157832.

It is an arithmetic number, because the mean of its divisors is an integer number (1457474052).

Almost surely, 240122152322 is an apocalyptic number.

40122152322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40122152322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46639169664).

40122152322 is an abundant number, since it is smaller than the sum of its proper divisors (53156187006).

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

40122152322 is a wasteful number, since it uses less digits than its factorization.

40122152322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 40122152322 its reverse (22325122104), we get a palindrome (62447274426).

The spelling of 40122152322 in words is "forty billion, one hundred twenty-two million, one hundred fifty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 854 1281 1621 2562 3242 4863 9661 9726 11347 19322 22694 28983 34041 57966 67627 68082 98881 135254 197762 202881 296643 405762 589321 593286 692167 1178642 1384334 1767963 2076501 3535926 4125247 4153002 8250494 12375741 15660481 24751482 31320962 46981443 93962886 109623367 219246734 328870101 657740202 955289341 1910578682 2865868023 5731736046 6687025387 13374050774 20061076161 40122152322