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40001240440032 = 25383109389118399
BaseRepresentation
bin10010001100001100000111…
…01110100001110011100000
312020122002012020000220010220
421012012003232201303200
520220340020023040112
6221024152143123040
711265665012441664
oct1106060356416340
9166562166026126
1040001240440032
1111822481442023
1245a06125a3480
13194214057ab51
149c40db1348a4
154957cda9498c
hex246183ba1ce0

40001240440032 has 192 divisors, whose sum is σ = 107519892480000. Its totient is φ = 13018581854208.

The previous prime is 40001240439989. The next prime is 40001240440037. The reversal of 40001240440032 is 23004404210004.

It is a happy number.

It is a super-2 number, since 2×400012404400322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40001240439984 and 40001240440011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40001240440037) 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 31 ways as a sum of consecutive naturals, for example, 337791969 + ... + 337910367.

It is an arithmetic number, because the mean of its divisors is an integer number (559999440000).

Almost surely, 240001240440032 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 40001240440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53759946240000).

40001240440032 is an abundant number, since it is smaller than the sum of its proper divisors (67518652039968).

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

40001240440032 is a wasteful number, since it uses less digits than its factorization.

40001240440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118993 (or 118985 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40001240440032 its reverse (23004404210004), we get a palindrome (63005644650036).

The spelling of 40001240440032 in words is "forty trillion, one billion, two hundred forty million, four hundred forty thousand, thirty-two".