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114365441113 = 71117591917753
BaseRepresentation
bin110101010000010110…
…1100010010001011001
3101221012022202100210021
41222200231202101121
53333210023103423
6124312212150441
711156040132010
oct1524055422131
9357168670707
10114365441113
1144558345690
121a1b8908421
13aa27a4cb61
14576cca3a77
152e954a695d
hex1aa0b62459

114365441113 has 64 divisors (see below), whose sum is σ = 154355466240. Its totient is φ = 82009958400.

The previous prime is 114365441111. The next prime is 114365441119. The reversal of 114365441113 is 311144563411.

It is not a de Polignac number, because 114365441113 - 21 = 114365441111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114365441111) 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, 14747245 + ... + 14754997.

It is an arithmetic number, because the mean of its divisors is an integer number (2411804160).

Almost surely, 2114365441113 is an apocalyptic number.

It is an amenable number.

114365441113 is a deficient number, since it is larger than the sum of its proper divisors (39990025127).

114365441113 is a wasteful number, since it uses less digits than its factorization.

114365441113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8038.

The product of its digits is 17280, while the sum is 34.

The spelling of 114365441113 in words is "one hundred fourteen billion, three hundred sixty-five million, four hundred forty-one thousand, one hundred thirteen".

Divisors: 1 7 11 17 59 77 119 187 191 413 649 1003 1309 1337 2101 3247 4543 7021 7753 11033 11269 14707 22729 35717 54271 77231 78883 85283 123959 131801 191573 250019 457427 596981 867713 922607 1341011 1449811 1480823 2107303 3201989 5031697 7776259 10148677 10365761 14751121 16289053 25173991 35221879 54433813 85538849 87368557 114023371 176217937 276913901 598771943 611579899 961054127 1485265469 1938397307 6727378889 10396858283 16337920159 114365441113