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144013024001 = 71121713277537
BaseRepresentation
bin1000011000011111011…
…0000101101100000001
3111202201111220121202202
42012013312011230001
54324414313232001
6150054134522545
713255530335510
oct2060766055401
9452644817682
10144013024001
1156091663500
1223ab1806455
13107710c3802
146d825b2677
153b2d1ba96b
hex2187d85b01

144013024001 has 48 divisors (see below), whose sum is σ = 191720406528. Its totient is φ = 105523292160.

The previous prime is 144013023943. The next prime is 144013024007. The reversal of 144013024001 is 100420310441.

It is a de Polignac number, because none of the positive numbers 2k-144013024001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144013024007) 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, 19103705 + ... + 19111241.

It is an arithmetic number, because the mean of its divisors is an integer number (3994175136).

Almost surely, 2144013024001 is an apocalyptic number.

144013024001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144013024001 is a deficient number, since it is larger than the sum of its proper divisors (47707382527).

144013024001 is a wasteful number, since it uses less digits than its factorization.

144013024001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8910 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144013024001 its reverse (100420310441), we get a palindrome (244433334442).

The spelling of 144013024001 in words is "one hundred forty-four billion, thirteen million, twenty-four thousand, one".

Divisors: 1 7 11 17 77 119 121 187 847 1309 1327 2057 7537 9289 14399 14597 22559 52759 82907 102179 128129 157913 160567 248149 580349 896903 911977 1123969 1409419 1737043 2729639 6383839 9865933 10001599 15503609 19107473 70011193 108525263 110017589 170027183 770123123 1190190281 1210193479 1870299013 8471354353 13092093091 20573289143 144013024001