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114123544431 = 313431034631427
BaseRepresentation
bin110101001001001001…
…0110001011101101111
3101220120110120201220220
41222102102301131233
53332211111410211
6124232211342423
711150042056611
oct1522222613557
9356513521826
10114123544431
1144443847076
121a14b8b1a13
13a9b98b6920
145748ad6db1
152e7e123806
hex1a924b176f

114123544431 has 64 divisors (see below), whose sum is σ = 169793175552. Its totient is φ = 67736414592.

The previous prime is 114123544411. The next prime is 114123544471. The reversal of 114123544431 is 134445321411.

It is not a de Polignac number, because 114123544431 - 217 = 114123413359 is a prime.

It is a super-2 number, since 2×1141235444312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114123544392 and 114123544401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114123544411) 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, 79973740 + ... + 79975166.

It is an arithmetic number, because the mean of its divisors is an integer number (2653018368).

Almost surely, 2114123544431 is an apocalyptic number.

114123544431 is a deficient number, since it is larger than the sum of its proper divisors (55669631121).

114123544431 is a wasteful number, since it uses less digits than its factorization.

114123544431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052.

The product of its digits is 23040, while the sum is 33.

Adding to 114123544431 its reverse (134445321411), we get a palindrome (248568865842).

The spelling of 114123544431 in words is "one hundred fourteen billion, one hundred twenty-three million, five hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 13 39 43 103 129 309 463 559 1339 1389 1427 1677 4017 4281 4429 6019 13287 18057 18551 19909 47689 55653 57577 59727 61361 143067 146981 172731 184083 258817 440943 619957 660701 776451 797693 1859871 1910753 1982103 2050627 2393079 5732259 6151881 6320183 8589113 18960549 25767339 26658151 28410143 68052203 79974453 82162379 85230429 204156609 246487137 369331859 884678639 1107995577 2654035917 2926244729 8778734187 38041181477 114123544431