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144142432201110 = 23572923668708079
BaseRepresentation
bin100000110001100011000110…
…011101111110100110010110
3200220100212210221020201222010
4200301203012131332212112
5122343112200120413420
61230322041425245050
742234642562031640
oct4061430635764626
9626325727221863
10144142432201110
1141a2350a212712
12141bb928a93786
13625775ac4c875
142784760c9b890
15119e71e9a04e0
hex8318c677e996

144142432201110 has 64 divisors (see below), whose sum is σ = 408995275622400. Its totient is φ = 31810743656832.

The previous prime is 144142432201087. The next prime is 144142432201127. The reversal of 144142432201110 is 11102234241441.

144142432201110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11834347950 + ... + 11834360129.

It is an arithmetic number, because the mean of its divisors is an integer number (6390551181600).

Almost surely, 2144142432201110 is an apocalyptic number.

144142432201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144142432201110 is an abundant number, since it is smaller than the sum of its proper divisors (264852843421290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144142432201110 is a wasteful number, since it uses less digits than its factorization.

144142432201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23668708125.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 144142432201110 its reverse (11102234241441), we get a palindrome (155244666442551).

The spelling of 144142432201110 in words is "one hundred forty-four trillion, one hundred forty-two billion, four hundred thirty-two million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 23668708079 47337416158 71006124237 118343540395 142012248474 165680956553 236687080790 331361913106 355030621185 497042869659 686392534291 710061242370 828404782765 994085739318 1372785068582 1656809565530 2059177602873 2485214348295 3431962671455 4118355205746 4804747740037 4970428696590 6863925342910 9609495480074 10295888014365 14414243220111 20591776028730 24023738700185 28828486440222 48047477400370 72071216100555 144142432201110