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144322332100131 = 34173137319136767
BaseRepresentation
bin100000110100001010101001…
…010101101000011000100011
3200221000002011110122111111010
4200310022221111220120203
5122404034114004201011
61230540433012352003
742253641633656313
oct4064125125503043
9627002143574433
10144322332100131
1141a92836aa4509
121422a775015603
13626b6cac16663
14278d34967b443
1511a424d4d41a6
hex8342a9568623

144322332100131 has 64 divisors (see below), whose sum is σ = 201350622928896. Its totient is φ = 91875233894400.

The previous prime is 144322332100127. The next prime is 144322332100153. The reversal of 144322332100131 is 131001233223441.

It is not a de Polignac number, because 144322332100131 - 22 = 144322332100127 is a prime.

It is a super-2 number, since 2×1443223321001312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144322332105131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3925304110 + ... + 3925340876.

It is an arithmetic number, because the mean of its divisors is an integer number (3146103483264).

Almost surely, 2144322332100131 is an apocalyptic number.

144322332100131 is a deficient number, since it is larger than the sum of its proper divisors (57028290828765).

144322332100131 is a wasteful number, since it uses less digits than its factorization.

144322332100131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40212.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 144322332100131 its reverse (131001233223441), we get a palindrome (275323565323572).

The spelling of 144322332100131 in words is "one hundred forty-four trillion, three hundred twenty-two billion, three hundred thirty-two million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 41 73 123 137 219 411 2993 3191 5617 8979 9573 10001 16851 30003 36767 110301 130831 232943 392493 410041 437167 698829 1230123 1311501 1507447 2683991 4522341 5037079 8051973 9550663 15111237 17923847 28651989 31913191 53771541 95739573 110043631 117323497 206520239 330130893 351970491 367706767 619560717 1103120301 1308440831 3925322493 4810263377 8564615281 14430790131 15075977447 16073319089 25693845843 45227932341 48219957267 351149226521 659006082649 1053447679563 1173352293497 1977018247947 3520056880491 48107444033377 144322332100131