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114001024404 = 223171968343063
BaseRepresentation
bin110101000101011111…
…1011001010110010100
3101220020221001002001010
41222022333121112110
53331433230240104
6124212113332220
711144023501431
oct1521277312624
9356227032033
10114001024404
1144390673a53
121a116867070
13a99a3b9977
145736722b88
152e734c1489
hex1a8afd9594

114001024404 has 96 divisors (see below), whose sum is σ = 296914222080. Its totient is φ = 33832263168.

The previous prime is 114001024393. The next prime is 114001024411. The reversal of 114001024404 is 404420100411.

It is a super-2 number, since 2×1140010244042 (a number of 23 digits) contains 22 as substring.

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, 2625777 + ... + 2668839.

It is an arithmetic number, because the mean of its divisors is an integer number (3092856480).

Almost surely, 2114001024404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114001024404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148457111040).

114001024404 is an abundant number, since it is smaller than the sum of its proper divisors (182913197676).

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

114001024404 is a wasteful number, since it uses less digits than its factorization.

114001024404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43789 (or 43787 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 114001024404 its reverse (404420100411), we get a palindrome (518421124815).

The spelling of 114001024404 in words is "one hundred fourteen billion, one million, twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 683 969 1292 1366 1938 2049 2732 3876 4098 8196 11611 12977 23222 25954 34833 38931 43063 46444 51908 69666 77862 86126 129189 139332 155724 172252 220609 258378 441218 516756 661827 732071 818197 882436 1323654 1464142 1636394 2196213 2454591 2647308 2928284 3272788 4392426 4909182 8784852 9818364 13909349 27818698 29412029 41728047 55637396 58824058 83456094 88236087 117648116 166912188 176472174 352944348 500004493 558828551 1000008986 1117657102 1500013479 1676485653 2000017972 2235314204 3000026958 3352971306 6000053916 6705942612 9500085367 19000170734 28500256101 38000341468 57000512202 114001024404