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144100431321 = 372111077511109
BaseRepresentation
bin1000011000110100001…
…1100001010111011001
3111202221121101101001220
42012031003201113121
54330104202300241
6150110540202253
713260641312400
oct2061503412731
9452847341056
10144100431321
1156126a33960
1223b16b39389
1310786248612
146d90046637
153b35bd4166
hex218d0e15d9

144100431321 has 96 divisors (see below), whose sum is σ = 246649743360. Its totient is φ = 73992240000.

The previous prime is 144100431311. The next prime is 144100431353. The reversal of 144100431321 is 123134001441.

It is not a de Polignac number, because 144100431321 - 27 = 144100431193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144100431291 and 144100431300.

It is not an unprimeable number, because it can be changed into a prime (144100431311) 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 95 ways as a sum of consecutive naturals, for example, 129936715 + ... + 129937823.

It is an arithmetic number, because the mean of its divisors is an integer number (2569268160).

Almost surely, 2144100431321 is an apocalyptic number.

144100431321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144100431321 is a deficient number, since it is larger than the sum of its proper divisors (102549312039).

144100431321 is a wasteful number, since it uses less digits than its factorization.

144100431321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 144100431321 its reverse (123134001441), we get a palindrome (267234432762).

The spelling of 144100431321 in words is "one hundred forty-four billion, one hundred million, four hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 33 49 77 107 147 231 321 539 749 751 1109 1177 1617 2247 2253 3327 3531 5243 5257 7763 8239 8261 12199 15729 15771 23289 24717 24783 36597 36799 54341 57673 57827 80357 85393 110397 118663 163023 173019 173481 241071 256179 355989 404789 562499 597751 830641 832859 883927 1214367 1305293 1687497 1793253 2491923 2498577 2651781 3915879 3937493 5814487 5830013 6187489 9137051 9161449 11812479 17443461 17490039 18562467 27411153 27484347 40810091 43312423 63959357 64130143 89115913 122430273 129937269 191878071 192390429 267347739 448911001 623811391 980275043 1346733003 1871434173 2940825129 4366679737 6861925301 13100039211 20585775903 48033477107 144100431321