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1010143422432 = 2532291091278737
BaseRepresentation
bin11101011001100010011…
…11010110011111100000
310120120100122001200012100
432230301033112133200
5113022233204004212
62052015315130400
7132660203264124
oct16546117263740
93516318050170
101010143422432
1135a44369a341
12143932ba3a00
13743438c1051
1436c69661584
151b422004bdc
hexeb313d67e0

1010143422432 has 288 divisors, whose sum is σ = 3022872652800. Its totient is φ = 319548063744.

The previous prime is 1010143422373. The next prime is 1010143422439. The reversal of 1010143422432 is 2342243410101.

1010143422432 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 434 + 224 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1010143422396 and 1010143422405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010143422439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115612368 + ... + 115621104.

It is an arithmetic number, because the mean of its divisors is an integer number (10496085600).

Almost surely, 21010143422432 is an apocalyptic number.

1010143422432 is a gapful number since it is divisible by the number (12) 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 1010143422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511436326400).

1010143422432 is an abundant number, since it is smaller than the sum of its proper divisors (2012729230368).

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

1010143422432 is a wasteful number, since it uses less digits than its factorization.

1010143422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9018 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1010143422432 its reverse (2342243410101), we get a palindrome (3352386832533).

The spelling of 1010143422432 in words is "one trillion, ten billion, one hundred forty-three million, four hundred twenty-two thousand, four hundred thirty-two".