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4101453440 = 2757592263
BaseRepresentation
bin1111010001110111…
…0011011010000000
3101120211121102101222
43310131303122000
531344433002230
61514552214212
7203431531130
oct36435633200
911524542358
104101453440
111815188747
1296569a368
13504953936
142aca02ac0
151901156e5
hexf4773680

4101453440 has 192 divisors, whose sum is σ = 11442245760. Its totient is φ = 1377122304.

The previous prime is 4101453437. The next prime is 4101453451. The reversal of 4101453440 is 443541014.

It is a happy number.

4101453440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15594749 + ... + 15595011.

It is an arithmetic number, because the mean of its divisors is an integer number (59595030).

Almost surely, 24101453440 is an apocalyptic number.

4101453440 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 4101453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721122880).

4101453440 is an abundant number, since it is smaller than the sum of its proper divisors (7340792320).

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

4101453440 is an equidigital number, since it uses as much as digits as its factorization.

4101453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4101453440 is about 64042.5908282918. The cubic root of 4101453440 is about 1600.7097684298.

Adding to 4101453440 its reverse (443541014), we get a palindrome (4544994454).

The spelling of 4101453440 in words is "four billion, one hundred one million, four hundred fifty-three thousand, four hundred forty".