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1144443432 = 233116017213
BaseRepresentation
bin100010000110110…
…1101001000101000
32221202110202020210
41010031231020220
54320434142212
6305321221120
740234415526
oct10415551050
92852422223
101144443432
11538010320
1227b3317a0
13153141b82
14abdcb316
156a71453c
hex4436d228

1144443432 has 64 divisors (see below), whose sum is σ = 3126836160. Its totient is φ = 346176000.

The previous prime is 1144443401. The next prime is 1144443439. The reversal of 1144443432 is 2343444411.

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 1144443432.

It is not an unprimeable number, because it can be changed into a prime (1144443439) 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, 155058 + ... + 162270.

It is an arithmetic number, because the mean of its divisors is an integer number (48856815).

Almost surely, 21144443432 is an apocalyptic number.

1144443432 is a gapful number since it is divisible by the number (12) 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 1144443432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563418080).

1144443432 is an abundant number, since it is smaller than the sum of its proper divisors (1982392728).

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

1144443432 is a wasteful number, since it uses less digits than its factorization.

1144443432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834 (or 7830 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 1144443432 is about 33829.6235864368. The cubic root of 1144443432 is about 1045.9994199271. Note that the first 3 decimals are identical.

Adding to 1144443432 its reverse (2343444411), we get a palindrome (3487887843).

The spelling of 1144443432 in words is "one billion, one hundred forty-four million, four hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 601 1202 1803 2404 3606 4808 6611 7212 7213 13222 14424 14426 19833 21639 26444 28852 39666 43278 52888 57704 79332 79343 86556 158664 158686 173112 238029 317372 476058 634744 952116 1904232 4335013 8670026 13005039 17340052 26010078 34680104 47685143 52020156 95370286 104040312 143055429 190740572 286110858 381481144 572221716 1144443432