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2144040024231 = 327191751237257
BaseRepresentation
bin11111001100110010101…
…111100111100010100111
321120222010211120020002100
4133030302233213202213
5240111443221233411
64320543002343143
7310621211336460
oct37146257474247
97528124506070
102144040024231
11757311775a26
122a76427baab3
1312724a11c641
1475ab488dd67
153ab8872d456
hex1f332be78a7

2144040024231 has 48 divisors (see below), whose sum is σ = 3562650943488. Its totient is φ = 1217123280000.

The previous prime is 2144040024227. The next prime is 2144040024233. The reversal of 2144040024231 is 1324200404412.

2144040024231 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 0 + 400 + 24 + 231 = 666.

It is not a de Polignac number, because 2144040024231 - 22 = 2144040024227 is a prime.

It is a super-2 number, since 2×21440400242312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2144040024195 and 2144040024204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144040024233) 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, 8918155 + ... + 9155411.

It is an arithmetic number, because the mean of its divisors is an integer number (74221894656).

Almost surely, 22144040024231 is an apocalyptic number.

2144040024231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2144040024231 is a deficient number, since it is larger than the sum of its proper divisors (1418610919257).

2144040024231 is a wasteful number, since it uses less digits than its factorization.

2144040024231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238212 (or 238209 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2144040024231 its reverse (1324200404412), we get a palindrome (3468240428643).

The spelling of 2144040024231 in words is "two trillion, one hundred forty-four billion, forty million, twenty-four thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 63 191 573 751 1337 1719 2253 4011 5257 6759 12033 15771 47313 143441 237257 430323 711771 1004087 1290969 1660799 2135313 3012261 4982397 9036783 14947191 45316087 135948261 178180007 317212609 407844783 534540021 951637827 1247260049 1603620063 2854913481 3741780147 11225340441 34032381337 102097144011 238226669359 306291432033 714680008077 2144040024231