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4430003101440 = 283572197311933
BaseRepresentation
bin100000001110111000011…
…0000101101111100000000
3120200111121112101112200020
41000131300300231330000
51040040121243221230
613231040524453440
7635025415031100
oct100356060557400
916614545345606
104430003101440
111458832296174
125b66930aa280
13261994346727
141145b0117200
157a37b8e1810
hex40770c2df00

4430003101440 has 432 divisors, whose sum is σ = 16467974254368. Its totient is φ = 1011974111232.

The previous prime is 4430003101417. The next prime is 4430003101441. The reversal of 4430003101440 is 441013000344.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4430003101440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430003101441) 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 47 ways as a sum of consecutive naturals, for example, 371233714 + ... + 371245646.

It is an arithmetic number, because the mean of its divisors is an integer number (38120310774).

Almost surely, 24430003101440 is an apocalyptic number.

4430003101440 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 4430003101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233987127184).

4430003101440 is an abundant number, since it is smaller than the sum of its proper divisors (12037971152928).

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

4430003101440 is a wasteful number, since it uses less digits than its factorization.

4430003101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13944 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4430003101440 its reverse (441013000344), we get a palindrome (4871016101784).

The spelling of 4430003101440 in words is "four trillion, four hundred thirty billion, three million, one hundred one thousand, four hundred forty".