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102040213440 = 2635119662899
BaseRepresentation
bin101111100001000010…
…0100001011111000000
3100202101100122220221110
41133002010201133000
53132434243312230
6114513203523320
710241436334434
oct1370204413700
9322340586843
10102040213440
113a303049710
1217939089540
1398123c6829
144d1ddc69c4
1529c33e24b0
hex17c21217c0

102040213440 has 112 divisors (see below), whose sum is σ = 353430230400. Its totient is φ = 24737018880.

The previous prime is 102040213399. The next prime is 102040213477. The reversal of 102040213440 is 44312040201.

102040213440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4820890 + ... + 4842009.

Almost surely, 2102040213440 is an apocalyptic number.

102040213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102040213440 is an abundant number, since it is smaller than the sum of its proper divisors (251390016960).

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

102040213440 is a wasteful number, since it uses less digits than its factorization.

102040213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9662930 (or 9662920 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102040213440 its reverse (44312040201), we get a palindrome (146352253641).

The spelling of 102040213440 in words is "one hundred two billion, forty million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 9662899 19325798 28988697 38651596 48314495 57977394 77303192 96628990 106291889 115954788 144943485 154606384 193257980 212583778 231909576 289886970 309212768 318875667 386515960 425167556 463819152 531459445 579773940 618425536 637751334 773031920 850335112 927638304 1062918890 1159547880 1275502668 1546063840 1594378335 1700670224 1855276608 2125837780 2319095760 2551005336 3092127680 3188756670 3401340448 4251675560 4638191520 5102010672 6377513340 6802680896 8503351120 9276383040 10204021344 12755026680 17006702240 20408042688 25510053360 34013404480 51020106720 102040213440