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1141411224 = 2333710511223
BaseRepresentation
bin100010000001000…
…1000110110011000
32221112202200211210
41010002020312120
54314200124344
6305132223120
740166556342
oct10402106630
92845680753
101141411224
1153632a168
1227a30aaa0
1315261c975
14ab83c292
156a315db9
hex44088d98

1141411224 has 64 divisors (see below), whose sum is σ = 2935837440. Its totient is φ = 369532800.

The previous prime is 1141411223. The next prime is 1141411237. The reversal of 1141411224 is 4221141411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1141411224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141411223) 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, 932677 + ... + 933899.

It is an arithmetic number, because the mean of its divisors is an integer number (45872460).

Almost surely, 21141411224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141411224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467918720).

1141411224 is an abundant number, since it is smaller than the sum of its proper divisors (1794426216).

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

1141411224 is a wasteful number, since it uses less digits than its factorization.

1141411224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2316 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 1141411224 is about 33784.7779924628. Note that the first 3 decimals coincide. The cubic root of 1141411224 is about 1045.0748094762.

Adding to 1141411224 its reverse (4221141411), we get a palindrome (5362552635).

The spelling of 1141411224 in words is "one billion, one hundred forty-one million, four hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1051 1223 2102 2446 3153 3669 4204 4892 6306 7338 8408 9784 12612 14676 25224 29352 38887 45251 77774 90502 116661 135753 155548 181004 233322 271506 311096 362008 466644 543012 933288 1086024 1285373 2570746 3856119 5141492 7712238 10282984 15424476 30848952 47558801 95117602 142676403 190235204 285352806 380470408 570705612 1141411224