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2333431030240 = 255371123350989
BaseRepresentation
bin100001111101001011010…
…100111110000111100000
322021001222211011011202101
4201331023110332013200
5301212331320431430
64543544033100144
7330404411333032
oct41751324760740
98231884134671
102333431030240
1181a669a909a2
123182993b7654
1313c070526a7b
1480d1d9a3c52
1540a705ebdca
hex21f4b53e1e0

2333431030240 has 96 divisors (see below), whose sum is σ = 5666781284640. Its totient is φ = 907334866944.

The previous prime is 2333431030211. The next prime is 2333431030243. The reversal of 2333431030240 is 420301343332.

It is a happy number.

2333431030240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2333431030199 and 2333431030208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2333431030243) 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, 6472666 + ... + 6823654.

It is an arithmetic number, because the mean of its divisors is an integer number (59028971715).

Almost surely, 22333431030240 is an apocalyptic number.

2333431030240 is a gapful number since it is divisible by the number (20) 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 2333431030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833390642320).

2333431030240 is an abundant number, since it is smaller than the sum of its proper divisors (3333350254400).

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

2333431030240 is a wasteful number, since it uses less digits than its factorization.

2333431030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352164 (or 352156 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 2333431030240 its reverse (420301343332), we get a palindrome (2753732373572).

The spelling of 2333431030240 in words is "two trillion, three hundred thirty-three billion, four hundred thirty-one million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1123 1184 1480 2246 2960 4492 5615 5920 8984 11230 17968 22460 35936 41551 44920 83102 89840 166204 179680 207755 332408 350989 415510 664816 701978 831020 1329632 1403956 1662040 1754945 2807912 3324080 3509890 5615824 6648160 7019780 11231648 12986593 14039560 25973186 28079120 51946372 56158240 64932965 103892744 129865930 207785488 259731860 394160647 415570976 519463720 788321294 1038927440 1576642588 1970803235 2077854880 3153285176 3941606470 6306570352 7883212940 12613140704 14583943939 15766425880 29167887878 31532851760 58335775756 63065703520 72919719695 116671551512 145839439390 233343103024 291678878780 466686206048 583357757560 1166715515120 2333431030240