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40010200233024 = 263771445194201
BaseRepresentation
bin10010001100011100110011…
…10001011011010001000000
312020122221022122110112111210
421012032121301123101000
520221011342224424044
6221032233210410120
711266433026433310
oct1106163161332100
9166587278415453
1040010200233024
1111826259a7111a
1245a22b3130940
131942c3a8c12c8
149c470b081440
15495b5547d1b9
hex246399c5b440

40010200233024 has 224 divisors, whose sum is σ = 122716080248832. Its totient is φ = 11267827200000.

The previous prime is 40010200233007. The next prime is 40010200233061. The reversal of 40010200233024 is 42033200201004.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×400102002330242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 424685124 + ... + 424779324.

It is an arithmetic number, because the mean of its divisors is an integer number (547839643968).

Almost surely, 240010200233024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40010200233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61358040124416).

40010200233024 is an abundant number, since it is smaller than the sum of its proper divisors (82705880015808).

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

40010200233024 is a wasteful number, since it uses less digits than its factorization.

40010200233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98745 (or 98735 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 40010200233024 its reverse (42033200201004), we get a palindrome (82043400434028).

The spelling of 40010200233024 in words is "forty trillion, ten billion, two hundred million, two hundred thirty-three thousand, twenty-four".