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144133244101 = 71123971974259
BaseRepresentation
bin1000011000111100000…
…0101100010011000101
3111210000220010102202001
42012033000230103011
54330141102302401
6150114111345301
713261520234440
oct2061700542305
9453026112661
10144133244101
1156143505660
1223b25b22231
131078cc96972
146d94548657
153b38a16601
hex218f02c4c5

144133244101 has 64 divisors (see below), whose sum is σ = 190451036160. Its totient is φ = 105756456960.

The previous prime is 144133244093. The next prime is 144133244131. The reversal of 144133244101 is 101442331441.

It is not a de Polignac number, because 144133244101 - 23 = 144133244093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144133244101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144133244131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33839910 + ... + 33844168.

It is an arithmetic number, because the mean of its divisors is an integer number (2975797440).

Almost surely, 2144133244101 is an apocalyptic number.

144133244101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144133244101 is a deficient number, since it is larger than the sum of its proper divisors (46317792059).

144133244101 is a wasteful number, since it uses less digits than its factorization.

144133244101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 144133244101 its reverse (101442331441), we get a palindrome (245575575542).

The spelling of 144133244101 in words is "one hundred forty-four billion, one hundred thirty-three million, two hundred forty-four thousand, one hundred one".

Divisors: 1 7 11 23 77 97 161 197 253 679 1067 1379 1771 2167 2231 4259 4531 7469 15169 15617 19109 24541 29813 31717 46849 49841 97957 133763 171787 210199 327943 348887 413123 439507 685699 839023 1077527 1471393 2891861 3076549 4544353 4834577 5873161 7542689 9229253 9501829 19297529 31810471 33842039 64604771 66512803 81385231 104520119 135082703 212272819 569696617 731640833 895237541 1485909733 1871860313 6266662787 13103022191 20590463443 144133244101