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10432200441040 = 2457152312231733
BaseRepresentation
bin1001011111001110111110…
…0110011111110011010000
31100221022022222121111211121
42113303233212133303100
52331410121303103130
634104253044252024
72124462436441210
oct227635746376320
940838288544747
1010432200441040
1133622a9200364
1212059b69a1014
135a89a19b5c71
14280cc7a90240
1513157371cd7a
hex97cef99fcd0

10432200441040 has 80 divisors (see below), whose sum is σ = 27738049972608. Its totient is φ = 3574405651968.

The previous prime is 10432200440911. The next prime is 10432200441053. The reversal of 10432200441040 is 4014400223401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10432200440996 and 10432200441014.

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, 5262987 + ... + 6968746.

Almost surely, 210432200441040 is an apocalyptic number.

10432200441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432200441040 is an abundant number, since it is smaller than the sum of its proper divisors (17305849531568).

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

10432200441040 is a wasteful number, since it uses less digits than its factorization.

10432200441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233276 (or 12233270 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10432200441040 its reverse (4014400223401), we get a palindrome (14446600664441).

The spelling of 10432200441040 in words is "ten trillion, four hundred thirty-two billion, two hundred million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1523 3046 6092 7615 10661 12184 15230 21322 24368 30460 42644 53305 60920 85288 106610 121840 170576 213220 426440 852880 12231733 24463466 48926932 61158665 85622131 97853864 122317330 171244262 195707728 244634660 342488524 428110655 489269320 684977048 856221310 978538640 1369954096 1712442620 3424885240 6849770480 18628929359 37257858718 74515717436 93144646795 130402505513 149031434872 186289293590 260805011026 298062869744 372578587180 521610022052 652012527565 745157174360 1043220044104 1304025055130 1490314348720 2086440088208 2608050110260 5216100220520 10432200441040