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233142443146704 = 24371353375101453
BaseRepresentation
bin110101000000101010110100…
…100000010111110111010000
31010120111012101201111200110210
4311000222310200113313100
5221024301210421143304
62143504054303124120
7100051662040026120
oct6500526440276720
91116435351450423
10233142443146704
1168317178166523
12221946985a3640
13a012313004840
144180223b86c80
151be4883a28c89
hexd40ab4817dd0

233142443146704 has 80 divisors (see below), whose sum is σ = 741273408993152. Its totient is φ = 61488116872704.

The previous prime is 233142443146703. The next prime is 233142443146709. The reversal of 233142443146704 is 407641344241332.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233142443146703) 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, 26687546359 + ... + 26687555094.

Almost surely, 2233142443146704 is an apocalyptic number.

233142443146704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233142443146704 is an abundant number, since it is smaller than the sum of its proper divisors (508130965846448).

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

233142443146704 is a wasteful number, since it uses less digits than its factorization.

233142443146704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53375101484 (or 53375101478 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 48.

The spelling of 233142443146704 in words is "two hundred thirty-three trillion, one hundred forty-two billion, four hundred forty-three million, one hundred forty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 53375101453 106750202906 160125304359 213500405812 320250608718 373625710171 427000811624 640501217436 693876318889 747251420342 854001623248 1120877130513 1281002434872 1387752637778 1494502840684 2081628956667 2241754261026 2562004869744 2775505275556 2989005681368 4163257913334 4483508522052 4857134232223 5551010551112 5978011362736 8326515826668 8967017044104 9714268464446 11102021102224 14571402696669 16653031653336 17934034088208 19428536928892 29142805393338 33306063306672 38857073857784 58285610786676 77714147715568 116571221573352 233142443146704