Search a number
-
+
144321401043102 = 231727141719125149
BaseRepresentation
bin100000110100001001110001…
…110101111011100010011110
3200220222222202120200220100110
4200310021301311323202132
5122404030212131334402
61230540200352510450
742253606600060323
oct4064116165734236
9626888676626313
10144321401043102
1141a923a948a598
121422a55524b426
13626b5b0067b3a
14278d29bb58b4a
1511a41e68c056c
hex834271d7b89e

144321401043102 has 64 divisors (see below), whose sum is σ = 306759350016000. Its totient is φ = 45108785640960.

The previous prime is 144321401043059. The next prime is 144321401043109. The reversal of 144321401043102 is 201340104123441.

It is a happy number.

144321401043102 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144321401043102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144321401043109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153134024 + ... + 1153259172.

It is an arithmetic number, because the mean of its divisors is an integer number (4793114844000).

Almost surely, 2144321401043102 is an apocalyptic number.

144321401043102 is an abundant number, since it is smaller than the sum of its proper divisors (162437948972898).

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

144321401043102 is a wasteful number, since it uses less digits than its factorization.

144321401043102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167161.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144321401043102 its reverse (201340104123441), we get a palindrome (345661505166543).

The spelling of 144321401043102 in words is "one hundred forty-four trillion, three hundred twenty-one billion, four hundred one million, forty-three thousand, one hundred two".

Divisors: 1 2 3 6 17 34 51 102 271 542 813 1626 4607 9214 13821 27642 41719 83438 125149 125157 250298 250314 375447 709223 750894 1418446 2127533 2127669 4255066 4255338 6382599 11305849 12765198 22611698 33915379 33917547 67830758 67835094 101746137 192199433 203492274 384398866 576561443 576598299 1153122886 1153196598 1729684329 3459368658 5221091131 10442182262 15663273393 31326546786 88758549227 177517098454 266275647681 532551295362 1414915696501 2829831393002 4244747089503 8489494179006 24053566840517 48107133681034 72160700521551 144321401043102