Search a number
-
+
4291390992000 = 2735373614273
BaseRepresentation
bin111110011100101010110…
…101011110111010000000
3120012020211102020210212010
4332130222311132322000
51030302232043221000
613043234322132520
7622020445401000
oct76345265367200
916166742223763
104291390992000
111404a7237a822
1259384a1b1140
132518a4183468
1410b9c0d68000
1576967971d50
hex3e72ad5ee80

4291390992000 has 1024 divisors, whose sum is σ = 16865956224000. Its totient is φ = 964583424000.

The previous prime is 4291390991999. The next prime is 4291390992019. The reversal of 4291390992000 is 2990931924.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1004301864 + ... + 1004306136.

It is an arithmetic number, because the mean of its divisors is an integer number (16470660375).

Almost surely, 24291390992000 is an apocalyptic number.

4291390992000 is a gapful number since it is divisible by the number (40) 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 4291390992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432978112000).

4291390992000 is an abundant number, since it is smaller than the sum of its proper divisors (12574565232000).

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

4291390992000 is an equidigital number, since it uses as much as digits as its factorization.

4291390992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The spelling of 4291390992000 in words is "four trillion, two hundred ninety-one billion, three hundred ninety million, nine hundred ninety-two thousand".