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1143041120 = 255132323893
BaseRepresentation
bin100010000100001…
…0110110001100000
32221122211111122022
41010020112301200
54320104303440
6305231201012
740216455254
oct10410266140
92848744568
101143041120
11537242791
1227a976168
13152a707c0
14abb44264
156a538cb5
hex44216c60

1143041120 has 96 divisors (see below), whose sum is σ = 3034729152. Its totient is φ = 403679232.

The previous prime is 1143041099. The next prime is 1143041129. The reversal of 1143041120 is 211403411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143041129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35894 + ... + 59786.

It is an arithmetic number, because the mean of its divisors is an integer number (31611762).

Almost surely, 21143041120 is an apocalyptic number.

1143041120 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 1143041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517364576).

1143041120 is an abundant number, since it is smaller than the sum of its proper divisors (1891688032).

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

1143041120 is a wasteful number, since it uses less digits than its factorization.

1143041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23944 (or 23936 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1143041120 is about 33808.8911382790. The cubic root of 1143041120 is about 1045.5720165233.

Adding to 1143041120 its reverse (211403411), we get a palindrome (1354444531).

The spelling of 1143041120 in words is "one billion, one hundred forty-three million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1495 1840 2080 2392 2990 3680 4784 5980 9568 11960 23893 23920 47786 47840 95572 119465 191144 238930 310609 382288 477860 549539 621218 764576 955720 1099078 1242436 1553045 1911440 2198156 2484872 2747695 3106090 3822880 4396312 4969744 5495390 6212180 7144007 8792624 9939488 10990780 12424360 14288014 17585248 21981560 24848720 28576028 35720035 43963120 49697440 57152056 71440070 87926240 114304112 142880140 228608224 285760280 571520560 1143041120