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41720439024 = 2432111743137263
BaseRepresentation
bin100110110110101110…
…110110000011110000
310222200120100220011100
4212312232312003300
51140420413022044
631055513444400
73004604611005
oct466656660360
9128616326140
1041720439024
111676a111380
128104110700
133c1b637014
14203ac938ac
151142a76869
hex9b6bb60f0

41720439024 has 480 divisors, whose sum is σ = 139538640384. Its totient is φ = 11493457920.

The previous prime is 41720438971. The next prime is 41720439029. The reversal of 41720439024 is 42093402714.

41720439024 is a `hidden beast` number, since 41 + 7 + 204 + 390 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41720439024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41720439029) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 158632717 + ... + 158632979.

Almost surely, 241720439024 is an apocalyptic number.

41720439024 is a gapful number since it is divisible by the number (44) 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 41720439024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69769320192).

41720439024 is an abundant number, since it is smaller than the sum of its proper divisors (97818201360).

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

41720439024 is a wasteful number, since it uses less digits than its factorization.

41720439024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 417 and 20439024, that added together give a square (20439441 = 45212).

The spelling of 41720439024 in words is "forty-one billion, seven hundred twenty million, four hundred thirty-nine thousand, twenty-four".