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114543224315441 = 10917312494863337
BaseRepresentation
bin11010000010110100101100…
…001100100101111000110001
3120000120020002020121221001122
4122002310230030211320301
5110003134010411043231
61043340233020112025
733061321610154605
oct3202645414457061
9500506066557048
10114543224315441
1133551565a991a9
1210a1b2b2095615
134bbb4c22a046c
14203dcc8d89505
15d397eadda77b
hex682d2c325e31

114543224315441 has 16 divisors (see below), whose sum is σ = 116355361650000. Its totient is φ = 112745979260928.

The previous prime is 114543224315419. The next prime is 114543224315461. The reversal of 114543224315441 is 144513422345411.

It can be written as a sum of positive squares in 8 ways, for example, as 9103103608225 + 105440120707216 = 3017135^2 + 10268404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114543224315441 is a prime.

It is a super-3 number, since 3×1145432243154413 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114543224315392 and 114543224315401.

It is not an unprimeable number, because it can be changed into a prime (114543224315461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21120725 + ... + 25984061.

It is an arithmetic number, because the mean of its divisors is an integer number (7272210103125).

Almost surely, 2114543224315441 is an apocalyptic number.

It is an amenable number.

114543224315441 is a deficient number, since it is larger than the sum of its proper divisors (1812137334559).

114543224315441 is a wasteful number, since it uses less digits than its factorization.

114543224315441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864868.

The product of its digits is 921600, while the sum is 44.

The spelling of 114543224315441 in words is "one hundred fourteen trillion, five hundred forty-three billion, two hundred twenty-four million, three hundred fifteen thousand, four hundred forty-one".

Divisors: 1 109 173 1249 18857 136141 216077 4863337 23552393 530103733 841357301 6074307913 91707945809 662099562517 1050855268949 114543224315441