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140224133324322 = 232291312120473181
BaseRepresentation
bin11111111000100001111001…
…101001111101111000100010
3200101111021222221122010101100
4133320201321221331320202
5121334413011112334242
61214122024430015230
741351600513101155
oct3770417151757042
9611437887563340
10140224133324322
11407527a2698183
1213888462647516
136032104839828
14268ac545d1c9c
1511328414da54c
hex7f8879a7de22

140224133324322 has 48 divisors (see below), whose sum is σ = 314319440218680. Its totient is φ = 45126164428800.

The previous prime is 140224133324321. The next prime is 140224133324339. The reversal of 140224133324322 is 223423331422041.

140224133324322 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 4 + 1 + 3 + 3 + 324 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117064371697641 + 23159761626681 = 10819629^2 + 4812459^2 .

It is not an unprimeable number, because it can be changed into a prime (140224133324321) 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, 3387429 + ... + 17085752.

Almost surely, 2140224133324322 is an apocalyptic number.

140224133324322 is an abundant number, since it is smaller than the sum of its proper divisors (174095306894358).

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

140224133324322 is a wasteful number, since it uses less digits than its factorization.

140224133324322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20486339 (or 20486336 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 140224133324322 its reverse (223423331422041), we get a palindrome (363647464746363).

The spelling of 140224133324322 in words is "one hundred forty trillion, two hundred twenty-four billion, one hundred thirty-three million, three hundred twenty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 13121 26242 39363 78726 118089 236178 380509 761018 1141527 2283054 3424581 6849162 20473181 40946362 61419543 122839086 184258629 368517258 593722249 1187444498 1781166747 3562333494 5343500241 10687000482 268628607901 537257215802 805885823703 1611771647406 2417657471109 4835314942218 7790229629129 15580459258258 23370688887387 46741377774774 70112066662161 140224133324322