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1141432420 = 225433493803
BaseRepresentation
bin100010000001000…
…1110000001100100
32221112210202220211
41010002032001210
54314201314140
6305132505204
740200005212
oct10402160144
92845722824
101141432420
11536344087
1227a31b204
131526294cb
14ab845cb2
156a31c2ea
hex4408e064

1141432420 has 48 divisors (see below), whose sum is σ = 2460427200. Its totient is φ = 444560256.

The previous prime is 1141432417. The next prime is 1141432421. The reversal of 1141432420 is 242341411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1141432391 and 1141432400.

It is not an unprimeable number, because it can be changed into a prime (1141432421) 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, 298239 + ... + 302041.

It is an arithmetic number, because the mean of its divisors is an integer number (51258900).

Almost surely, 21141432420 is an apocalyptic number.

1141432420 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 1141432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230213600).

1141432420 is an abundant number, since it is smaller than the sum of its proper divisors (1318994780).

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

1141432420 is a wasteful number, since it uses less digits than its factorization.

1141432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1141432420 is about 33785.0916825750. The cubic root of 1141432420 is about 1045.0812784472.

Adding to 1141432420 its reverse (242341411), we get a palindrome (1383773831).

It can be divided in two parts, 11414 and 32420, that added together give a palindrome (43834).

The spelling of 1141432420 in words is "one billion, one hundred forty-one million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 349 430 698 860 1396 1745 3490 3803 6980 7606 15007 15212 19015 30014 38030 60028 75035 76060 150070 163529 300140 327058 654116 817645 1327247 1635290 2654494 3270580 5308988 6636235 13272470 26544940 57071621 114143242 228286484 285358105 570716210 1141432420