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1141152240 = 243528116921
BaseRepresentation
bin100010000000100…
…1001100111110000
32221112021112120210
41010001021213300
54314113332430
6305122504120
740164430314
oct10401114760
92845245523
101141152240
11536172628
1227a205040
1315255bb17
14ab7b1b44
156a2b42b0
hex440499f0

1141152240 has 80 divisors (see below), whose sum is σ = 3550370976. Its totient is φ = 303206400.

The previous prime is 1141152239. The next prime is 1141152281. The reversal of 1141152240 is 422511411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58980 + ... + 75900.

Almost surely, 21141152240 is an apocalyptic number.

1141152240 is a gapful number since it is divisible by the number (10) 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 1141152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775185488).

1141152240 is an abundant number, since it is smaller than the sum of its proper divisors (2409218736).

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

1141152240 is a wasteful number, since it uses less digits than its factorization.

1141152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17218 (or 17212 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1141152240 is about 33780.9449246169. The cubic root of 1141152240 is about 1044.9957616794.

Adding to 1141152240 its reverse (422511411), we get a palindrome (1563663651).

The spelling of 1141152240 in words is "one billion, one hundred forty-one million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1405 1686 2248 2810 3372 4215 4496 5620 6744 8430 11240 13488 16860 16921 22480 33720 33842 50763 67440 67684 84605 101526 135368 169210 203052 253815 270736 338420 406104 507630 676840 812208 1015260 1353680 2030520 4061040 4754801 9509602 14264403 19019204 23774005 28528806 38038408 47548010 57057612 71322015 76076816 95096020 114115224 142644030 190192040 228230448 285288060 380384080 570576120 1141152240