Search a number
-
+
144134232242 = 271141354091
BaseRepresentation
bin1000011000111100010…
…0011101100010110010
3111210000221222122012212
42012033010131202302
54330141330412432
6150114144452122
713261531521350
oct2061704354262
9453027878185
10144134232242
1156144020000
1223b2631a042
1310790251670
146d947247d0
153b38b5e2b2
hex218f11d8b2

144134232242 has 80 divisors (see below), whose sum is σ = 292706957760. Its totient is φ = 51835528800.

The previous prime is 144134232167. The next prime is 144134232257. The reversal of 144134232242 is 242232431441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144134232199 and 144134232208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2637617 + ... + 2691707.

It is an arithmetic number, because the mean of its divisors is an integer number (3658836972).

Almost surely, 2144134232242 is an apocalyptic number.

144134232242 is an abundant number, since it is smaller than the sum of its proper divisors (148572725518).

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

144134232242 is an equidigital number, since it uses as much as digits as its factorization.

144134232242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54157 (or 54124 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

Adding to 144134232242 its reverse (242232431441), we get a palindrome (386366663683).

The spelling of 144134232242 in words is "one hundred forty-four billion, one hundred thirty-four million, two hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1331 1573 1694 2002 2662 3146 9317 11011 14641 17303 18634 22022 29282 34606 54091 102487 108182 121121 190333 204974 242242 378637 380666 595001 703183 757274 1190002 1332331 1406366 2664662 4165007 4922281 6545011 7735013 8330014 9844562 13090022 15470026 45815077 54145091 71995121 85085143 91630154 108290182 143990242 170170286 503965847 595596001 791946331 935936573 1007931694 1191192002 1583892662 1871873146 5543624317 6551556011 10295302303 11087248634 13103112022 20590604606 72067116121 144134232242