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144044030331141 = 31720113581392201
BaseRepresentation
bin100000110000000111011101…
…010000101000100100000101
3200220000110211010202210222120
4200300013131100220210011
5122340004133231044031
61230204525231520153
742224560231654443
oct4060073520504405
9626013733683876
10144044030331141
11419958039a1336
12141a4846389059
13624b3a856c9c5
14277daa81a5b93
15119bdb0be5a96
hex8301dd428905

144044030331141 has 32 divisors (see below), whose sum is σ = 203514734791296. Its totient is φ = 90310168320000.

The previous prime is 144044030331059. The next prime is 144044030331181. The reversal of 144044030331141 is 141133030440441.

It is not a de Polignac number, because 144044030331141 - 27 = 144044030331013 is a prime.

It is a super-2 number, since 2×1440440303311412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144044030331181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367074841 + ... + 367467041.

It is an arithmetic number, because the mean of its divisors is an integer number (6359835462228).

Almost surely, 2144044030331141 is an apocalyptic number.

It is an amenable number.

144044030331141 is a deficient number, since it is larger than the sum of its proper divisors (59470704460155).

144044030331141 is a wasteful number, since it uses less digits than its factorization.

144044030331141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397813.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 144044030331141 its reverse (141133030440441), we get a palindrome (285177060771582).

The spelling of 144044030331141 in words is "one hundred forty-four trillion, forty-four billion, thirty million, three hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 17 51 2011 3581 6033 10743 34187 60877 102561 182631 392201 1176603 6667417 7201391 20002251 21604173 122423647 367270941 788716211 1404471781 2366148633 4213415343 13408175587 23876020277 40224526761 71628060831 2824392751591 8473178254773 48014676777047 144044030331141