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114203111832 = 233241239161869
BaseRepresentation
bin110101001011100001…
…0010011000110011000
3101220210000022011212200
41222113002103012120
53332341444034312
6124244133010200
711152026301545
oct1522702230630
9356700264780
10114203111832
1144484752257
121a172483960
13aa00225124
1457554c9bcc
152e860de0dc
hex1a97093198

114203111832 has 96 divisors (see below), whose sum is σ = 318171672000. Its totient is φ = 36983600640.

The previous prime is 114203111807. The next prime is 114203111833. The reversal of 114203111832 is 238111302411.

It is a super-2 number, since 2×1142031118322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114203111796 and 114203111805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114203111833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624594 + ... + 786462.

It is an arithmetic number, because the mean of its divisors is an integer number (3314288250).

Almost surely, 2114203111832 is an apocalyptic number.

114203111832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114203111832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159085836000).

114203111832 is an abundant number, since it is smaller than the sum of its proper divisors (203968560168).

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

114203111832 is a wasteful number, since it uses less digits than its factorization.

114203111832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162161 (or 162154 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 114203111832 in words is "one hundred fourteen billion, two hundred three million, one hundred eleven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 239 246 328 369 478 492 717 738 956 984 1434 1476 1912 2151 2868 2952 4302 5736 8604 9799 17208 19598 29397 39196 58794 78392 88191 117588 161869 176382 235176 323738 352764 485607 647476 705528 971214 1294952 1456821 1942428 2913642 3884856 5827284 6636629 11654568 13273258 19909887 26546516 38686691 39819774 53093032 59729661 77373382 79639548 116060073 119459322 154746764 159279096 232120146 238918644 309493528 348180219 464240292 477837288 696360438 928480584 1392720876 1586154331 2785441752 3172308662 4758462993 6344617324 9516925986 12689234648 14275388979 19033851972 28550777958 38067703944 57101555916 114203111832