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144314203232043 = 32133151631770639
BaseRepresentation
bin100000110100000011000100…
…110100011101011100101011
3200220222022011221202012210200
4200310003010310131130223
5122403420442011411133
61230533010230443243
742253233326511405
oct4064030464353453
9626868157665720
10144314203232043
1141a8a345508609
1214229086803523
13626aa03a93040
14278cbb7c29b75
1511a3e24a30913
hex8340c4d1d72b

144314203232043 has 48 divisors (see below), whose sum is σ = 231735122411520. Its totient is φ = 85942166270400.

The previous prime is 144314203231999. The next prime is 144314203232063. The reversal of 144314203232043 is 340232302413441.

144314203232043 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 1 + 420 + 3 + 23 + 204 + 3 = 666.

It is not a de Polignac number, because 144314203232043 - 28 = 144314203231787 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144314203231989 and 144314203232007.

It is not an unprimeable number, because it can be changed into a prime (144314203232063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186880318 + ... + 187650956.

It is an arithmetic number, because the mean of its divisors is an integer number (4827815050240).

Almost surely, 2144314203232043 is an apocalyptic number.

144314203232043 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

144314203232043 is a deficient number, since it is larger than the sum of its proper divisors (87420919179477).

144314203232043 is a wasteful number, since it uses less digits than its factorization.

144314203232043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822320 (or 822317 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 144314203232043 its reverse (340232302413441), we get a palindrome (484546505645484).

The spelling of 144314203232043 in words is "one hundred forty-four trillion, three hundred fourteen billion, two hundred three million, two hundred thirty-two thousand, forty-three".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 51631 154893 464679 671203 770639 1600561 2013609 2311917 4801683 6040827 6935751 10018307 14405049 20807293 23889809 30054921 62421879 71669427 90164763 187265637 215008281 310567517 931702551 2795107653 39788862209 119366586627 358099759881 517255208717 1233454728479 1551765626151 3700364185437 4655296878453 11101092556311 16034911470227 48104734410681 144314203232043