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40844352192 = 26374412161
BaseRepresentation
bin100110000010100000…
…110101101011000000
310220102111212001221220
4212002200311223000
51132122123232232
630432540115040
72644106160000
oct460240655300
9126374761856
1040844352192
111635a632376
127aba835a80
133b0bc93c47
141d967a0000
1510e0bc042c
hex982835ac0

40844352192 has 280 divisors, whose sum is σ = 129205738032. Its totient is φ = 11379916800.

The previous prime is 40844352139. The next prime is 40844352203. The reversal of 40844352192 is 29125344804.

It is a happy number.

It is a super-2 number, since 2×408443521922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18899592 + ... + 18901752.

Almost surely, 240844352192 is an apocalyptic number.

40844352192 is a gapful number since it is divisible by the number (42) 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 40844352192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64602869016).

40844352192 is an abundant number, since it is smaller than the sum of its proper divisors (88361385840).

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

40844352192 is an equidigital number, since it uses as much as digits as its factorization.

40844352192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

Adding to 40844352192 its reverse (29125344804), we get a palindrome (69969696996).

The spelling of 40844352192 in words is "forty billion, eight hundred forty-four million, three hundred fifty-two thousand, one hundred ninety-two".