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1141899264 = 22032112
BaseRepresentation
bin100010000010000…
…0000000000000000
32221120200111022100
41010010000000000
54314311234024
6305150510400
740203661242
oct10404000000
92846614270
101141899264
11536632900
1227a505400
13152760b4c
14ab928092
156a3b07c9
hex44100000

1141899264 has 189 divisors, whose sum is σ = 3625974079. Its totient is φ = 346030080.

The previous prime is 1141899251. The next prime is 1141899277. The reversal of 1141899264 is 4629981411.

It is a happy number.

The square root of 1141899264 is 33792.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1141899251) and next prime (1141899277).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

Its product of digits (124416) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103809019 + ... + 103809029.

Almost surely, 21141899264 is an apocalyptic number.

1141899264 is the 33792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141899264

1141899264 is an abundant number, since it is smaller than the sum of its proper divisors (2484074815).

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

1141899264 is an frugal number, since it uses more digits than its factorization.

1141899264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 16 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The cubic root of 1141899264 is about 1045.2237378738.

The spelling of 1141899264 in words is "one billion, one hundred forty-one million, eight hundred ninety-nine thousand, two hundred sixty-four".