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10232003434240 = 285710710672567
BaseRepresentation
bin1001010011100101001011…
…1011100001011100000000
31100020011120220121211211001
42110321102323201130000
52320120120334343430
633432303435501344
72104144404114310
oct224712273413400
940204526554731
1010232003434240
113295406211025
1211930452b7854
13592b4891a023
14275335769440
1512b257d313ca
hex94e52ee1700

10232003434240 has 144 divisors (see below), whose sum is σ = 28271888773632. Its totient is φ = 3475329011712.

The previous prime is 10232003434229. The next prime is 10232003434243. The reversal of 10232003434240 is 4243430023201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10232003434199 and 10232003434208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232003434243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4377564 + ... + 6295003.

It is an arithmetic number, because the mean of its divisors is an integer number (196332560928).

Almost surely, 210232003434240 is an apocalyptic number.

10232003434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232003434240 is an abundant number, since it is smaller than the sum of its proper divisors (18039885339392).

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

10232003434240 is a wasteful number, since it uses less digits than its factorization.

10232003434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672702 (or 10672688 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10232003434240 its reverse (4243430023201), we get a palindrome (14475433457441).

The spelling of 10232003434240 in words is "ten trillion, two hundred thirty-two billion, three million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 107 112 128 140 160 214 224 256 280 320 428 448 535 560 640 749 856 896 1070 1120 1280 1498 1712 1792 2140 2240 2996 3424 3745 4280 4480 5992 6848 7490 8560 8960 11984 13696 14980 17120 23968 27392 29960 34240 47936 59920 68480 95872 119840 136960 191744 239680 479360 958720 10672567 21345134 42690268 53362835 74707969 85380536 106725670 149415938 170761072 213451340 298831876 341522144 373539845 426902680 597663752 683044288 747079690 853805360 1141964669 1195327504 1366088576 1494159380 1707610720 2283929338 2390655008 2732177152 2988318760 3415221440 4567858676 4781310016 5709823345 5976637520 6830442880 7993752683 9135717352 9562620032 11419646690 11953275040 13660885760 15987505366 18271434704 19125240064 22839293380 23906550080 31975010732 36542869408 39968763415 45678586760 47813100160 63950021464 73085738816 79937526830 91357173520 95626200320 127900042928 146171477632 159875053660 182714347040 255800085856 292342955264 319750107320 365428694080 511600171712 639500214640 730857388160 1023200343424 1279000429280 1461714776320 2046400686848 2558000858560 5116001717120 10232003434240