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1141234752 = 263717199251
BaseRepresentation
bin100010000000101…
…1101110001000000
32221112102201202210
41010001131301000
54314124003002
6305124342120
740165223010
oct10401356100
92845381683
101141234752
11536219619
1227a244940
1315258a548
14ab7d3c40
156a2cd96c
hex4405dc40

1141234752 has 224 divisors, whose sum is σ = 3686860800. Its totient is φ = 304128000.

The previous prime is 1141234733. The next prime is 1141234763. The reversal of 1141234752 is 2574321411.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4546627 + ... + 4546877.

It is an arithmetic number, because the mean of its divisors is an integer number (16459200).

Almost surely, 21141234752 is an apocalyptic number.

1141234752 is a gapful number since it is divisible by the number (12) 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 1141234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843430400).

1141234752 is an abundant number, since it is smaller than the sum of its proper divisors (2545626048).

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

1141234752 is a wasteful number, since it uses less digits than its factorization.

1141234752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 1141234752 is about 33782.1661827657. The cubic root of 1141234752 is about 1045.0209475132.

It can be divided in two parts, 11412 and 34752, that added together give a palindrome (46164).

The spelling of 1141234752 in words is "one billion, one hundred forty-one million, two hundred thirty-four thousand, seven hundred fifty-two".