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10432411423400 = 235217591032691877
BaseRepresentation
bin1001011111001111110000…
…1011010101001010101000
31100221022212200121112020002
42113303330023111022220
52331411034311022100
634104330022322132
72124500610656141
oct227637413251250
940838780545202
1010432411423400
1133623a730454a
121205a55589348
135a8a06616cb5
14280d07ad0ac8
15131586ee62d5
hex97cfc2d52a8

10432411423400 has 384 divisors, whose sum is σ = 26483135328000. Its totient is φ = 3807200624640.

The previous prime is 10432411423391. The next prime is 10432411423403. The reversal of 10432411423400 is 432411423401.

It is not an unprimeable number, because it can be changed into a prime (10432411423403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5558023262 + ... + 5558025138.

It is an arithmetic number, because the mean of its divisors is an integer number (68966498250).

Almost surely, 210432411423400 is an apocalyptic number.

10432411423400 is a gapful number since it is divisible by the number (10) 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 10432411423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13241567664000).

10432411423400 is an abundant number, since it is smaller than the sum of its proper divisors (16050723904600).

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

10432411423400 is a wasteful number, since it uses less digits than its factorization.

10432411423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10432411423400 its reverse (432411423401), we get a palindrome (10864822846801).

Subtracting from 10432411423400 its reverse (432411423401), we obtain a palindrome (9999999999999).

The spelling of 10432411423400 in words is "ten trillion, four hundred thirty-two billion, four hundred eleven million, four hundred twenty-three thousand, four hundred".