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48404844040440 = 233537155920173467
BaseRepresentation
bin10110000000110001000011…
…00010001101000011111000
320100101110100210210112102210
423000120201202031003320
522321031110033243230
6250540513421055120
713124064105450666
oct1300304142150370
9210343323715383
1048404844040440
1114472419604a08
1255192243b74a0
132101732251174
14bd4b423c1c36
1558e1c3976eb0
hex2c062188d0f8

48404844040440 has 256 divisors, whose sum is σ = 149351966899200. Its totient is φ = 12541197828096.

The previous prime is 48404844040417. The next prime is 48404844040447. The reversal of 48404844040440 is 4404044840484.

It is a self number, because there is not a number n which added to its sum of digits gives 48404844040440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48404844040447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13961591587 + ... + 13961595053.

It is an arithmetic number, because the mean of its divisors is an integer number (583406120700).

Almost surely, 248404844040440 is an apocalyptic number.

48404844040440 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 48404844040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74675983449600).

48404844040440 is an abundant number, since it is smaller than the sum of its proper divisors (100947122858760).

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

48404844040440 is a wasteful number, since it uses less digits than its factorization.

48404844040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 48.

The spelling of 48404844040440 in words is "forty-eight trillion, four hundred four billion, eight hundred forty-four million, forty thousand, four hundred forty".