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4103222101440 = 2635721141269719
BaseRepresentation
bin111011101101011011000…
…110001000010111000000
3112112021010121021202102020
4323231123012020113000
51014211344324221230
612420554425521440
7602306445252300
oct73553306102700
915467117252366
104103222101440
1113421919a6220
12563294943280
13239c17014777
1410285029d600
1571b0300b810
hex3bb5b1885c0

4103222101440 has 1344 divisors, whose sum is σ = 17022236313600. Its totient is φ = 827577139200.

The previous prime is 4103222101423. The next prime is 4103222101453. The reversal of 4103222101440 is 441012223014.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×41032221014402 (a number of 26 digits) contains 22 as substring.

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 4103222101440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5706845401 + ... + 5706846119.

It is an arithmetic number, because the mean of its divisors is an integer number (12665354400).

Almost surely, 24103222101440 is an apocalyptic number.

4103222101440 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 4103222101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511118156800).

4103222101440 is an abundant number, since it is smaller than the sum of its proper divisors (12919014212160).

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

4103222101440 is a wasteful number, since it uses less digits than its factorization.

4103222101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4103222101440 its reverse (441012223014), we get a palindrome (4544234324454).

The spelling of 4103222101440 in words is "four trillion, one hundred three billion, two hundred twenty-two million, one hundred one thousand, four hundred forty".