Search a number
-
+
144211001553135 = 325111511929373223
BaseRepresentation
bin100000110010100010111101…
…100001010011000011101111
3200220121102210122120201202200
4200302202331201103003233
5122400223112344200020
61230413341452352543
742242621024641146
oct4062427541230357
9626542718521680
10144211001553135
1141a4a5a6892790
1214211084775753
136261067b7784a
142787bc78a475d
1511a13d46b5590
hex8328bd8530ef

144211001553135 has 48 divisors (see below), whose sum is σ = 274495787324928. Its totient is φ = 69457435992000.

The previous prime is 144211001553097. The next prime is 144211001553139. The reversal of 144211001553135 is 531355100112441.

144211001553135 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 1 + 100 + 15 + 531 + 3 + 5 = 666.

It is not a de Polignac number, because 144211001553135 - 219 = 144211001028847 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144211001553135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144211001553139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964611867 + ... + 964761356.

It is an arithmetic number, because the mean of its divisors is an integer number (5718662235936).

Almost surely, 2144211001553135 is an apocalyptic number.

144211001553135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144211001553135 is a deficient number, since it is larger than the sum of its proper divisors (130284785771793).

144211001553135 is a wasteful number, since it uses less digits than its factorization.

144211001553135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929373396 (or 1929373393 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 144211001553135 its reverse (531355100112441), we get a palindrome (675566101665576).

The spelling of 144211001553135 in words is "one hundred forty-four trillion, two hundred eleven billion, one million, five hundred fifty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 151 165 453 495 755 1359 1661 2265 4983 6795 8305 14949 24915 74745 1929373223 5788119669 9646866115 17364359007 21223105453 28940598345 63669316359 86821795035 106115527265 191007949077 291335356673 318346581795 874006070019 955039745385 1456676783365 2622018210057 3204688923403 4370030350095 9614066770209 13110091050285 16023444617015 28842200310627 48070333851045 144211001553135