Search a number
-
+
144313325440 = 275367614413
BaseRepresentation
bin1000011001100110111…
…1101001011110000000
3111210111102222111220021
42012121233221132000
54331023202403230
6150144023223224
713266135012064
oct2063157513600
9453442874807
10144313325440
1156226123409
1223b762a7b14
13107bb39887b
146db0423aa4
153b49738c7a
hex2199be9780

144313325440 has 64 divisors (see below), whose sum is σ = 345939658560. Its totient is φ = 57567946752.

The previous prime is 144313325399. The next prime is 144313325447. The reversal of 144313325440 is 44523313441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 144313325396 and 144313325405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144313325447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72327 + ... + 542086.

It is an arithmetic number, because the mean of its divisors is an integer number (5405307165).

Almost surely, 2144313325440 is an apocalyptic number.

144313325440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144313325440 is an abundant number, since it is smaller than the sum of its proper divisors (201626333120).

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

144313325440 is an equidigital number, since it uses as much as digits as its factorization.

144313325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614799 (or 614787 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 144313325440 its reverse (44523313441), we get a palindrome (188836638881).

The spelling of 144313325440 in words is "one hundred forty-four billion, three hundred thirteen million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 367 640 734 1468 1835 2936 3670 5872 7340 11744 14680 23488 29360 46976 58720 117440 234880 614413 1228826 2457652 3072065 4915304 6144130 9830608 12288260 19661216 24576520 39322432 49153040 78644864 98306080 196612160 225489571 393224320 450979142 901958284 1127447855 1803916568 2254895710 3607833136 4509791420 7215666272 9019582840 14431332544 18039165680 28862665088 36078331360 72156662720 144313325440