Search a number
-
+
144101133313413 = 3731277823662287
BaseRepresentation
bin100000110000111100101000…
…110111001110010110000101
3200220012221012202002212111220
4200300330220313032112011
5122341423110112012123
61230251051410550553
742231651263212353
oct4060745067162605
9626187182085456
10144101133313413
1141a07a47057071
12141b3921b98459
1362538a8a61703
142782763dbc7d3
15119d603e47ce3
hex830f28dce585

144101133313413 has 32 divisors (see below), whose sum is σ = 196325814829056. Its totient is φ = 93993197413248.

The previous prime is 144101133313409. The next prime is 144101133313447. The reversal of 144101133313413 is 314313331101441.

It is not a de Polignac number, because 144101133313413 - 22 = 144101133313409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144101133313913) 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, 217249956 + ... + 217912242.

It is an arithmetic number, because the mean of its divisors is an integer number (6135181713408).

Almost surely, 2144101133313413 is an apocalyptic number.

It is an amenable number.

144101133313413 is a deficient number, since it is larger than the sum of its proper divisors (52224681515643).

144101133313413 is a wasteful number, since it uses less digits than its factorization.

144101133313413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670313.

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 144101133313413 its reverse (314313331101441), we get a palindrome (458414464414854).

The spelling of 144101133313413 in words is "one hundred forty-four trillion, one hundred one billion, one hundred thirty-three million, three hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 73 127 219 381 7823 9271 23469 27813 571079 662287 993521 1713237 1986861 2980563 48346951 72527033 84110449 145040853 217581099 252331347 5181071201 6140062777 15543213603 18420188331 378218197673 657996042527 1134654593019 1973988127581 48033711104471 144101133313413