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144431128688077 = 7112673325326127
BaseRepresentation
bin100000110101101111111110…
…000111101011010111001101
3200221101110222200121210212101
4200311233332013223113031
5122412324422421004302
61231102424453035101
742264543003500650
oct4065577607532715
9627343880553771
10144431128688077
1142024996918300
1214247878925a91
136278a48cc600a
14279470aac3897
1511a6eb9b1a287
hex835bfe1eb5cd

144431128688077 has 24 divisors (see below), whose sum is σ = 181461099292928. Its totient is φ = 112527016953120.

The previous prime is 144431128688047. The next prime is 144431128688083. The reversal of 144431128688077 is 770886821134441.

It is a de Polignac number, because none of the positive numbers 2k-144431128688077 is a prime.

It is a super-2 number, since 2×1444311286880772 (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 (144431128688047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6960213 + ... + 18365914.

Almost surely, 2144431128688077 is an apocalyptic number.

It is an amenable number.

144431128688077 is a deficient number, since it is larger than the sum of its proper divisors (37029970604851).

144431128688077 is a wasteful number, since it uses less digits than its factorization.

144431128688077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25332889 (or 25332878 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 64.

The spelling of 144431128688077 in words is "one hundred forty-four trillion, four hundred thirty-one billion, one hundred twenty-eight million, six hundred eighty-eight thousand, seventy-seven".

Divisors: 1 7 11 77 121 847 6733 47131 74063 518441 814693 5702851 25326127 177282889 278587397 1950111779 3064461367 21451229569 170520813091 1193645691637 1875728944001 13130102608007 20633018384011 144431128688077