Search a number
-
+
144104320322304 = 283348163538931
BaseRepresentation
bin100000110000111111100110…
…110100101100101100000000
3200220020020102212000200211020
4200300333212310230230000
5122342001122000303204
61230252335535345440
742232123252304436
oct4060774664545400
9626206385020736
10144104320322304
1141a09332037011
12141b4471382280
136253c961020a4
142782987384d56
15119d73db2bbd9
hex830fe6d2cb00

144104320322304 has 72 divisors (see below), whose sum is σ = 383529457413312. Its totient is φ = 48034546344960.

The previous prime is 144104320322251. The next prime is 144104320322311. The reversal of 144104320322304 is 403223023401441.

It is a super-2 number, since 2×1441043203223042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267119719 + ... + 267658649.

Almost surely, 2144104320322304 is an apocalyptic number.

It is an amenable number.

144104320322304 is an abundant number, since it is smaller than the sum of its proper divisors (239425137091008).

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

144104320322304 is an equidigital number, since it uses as much as digits as its factorization.

144104320322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887113 (or 887099 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 144104320322304 its reverse (403223023401441), we get a palindrome (547327343723745).

The spelling of 144104320322304 in words is "one hundred forty-four trillion, one hundred four billion, three hundred twenty million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 348163 538931 696326 1044489 1077862 1392652 1616793 2088978 2155724 2785304 3233586 4177956 4311448 5570608 6467172 8355912 8622896 11141216 12934344 16711824 17245792 22282432 25868688 33423648 34491584 44564864 51737376 66847296 68983168 89129728 103474752 133694592 137966336 206949504 267389184 413899008 187635833753 375271667506 562907501259 750543335012 1125815002518 1501086670024 2251630005036 3002173340048 4503260010072 6004346680096 9006520020144 12008693360192 18013040040288 24017386720384 36026080080576 48034773440768 72052160161152 144104320322304