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1144431205220 = 2251722914698577
BaseRepresentation
bin10000101001110101011…
…010100101101101100100
311001101222101012212001002
4100221311122211231210
5122222243342031340
62233424444252432
7145453033512002
oct20516532455544
94041871185032
101144431205220
11401394642106
1216596b841118
1383bc4bc8254
143d568393a72
151eb814d7715
hex10a756a5b64

1144431205220 has 48 divisors (see below), whose sum is σ = 2555788742640. Its totient is φ = 428963241984.

The previous prime is 1144431205207. The next prime is 1144431205231. The reversal of 1144431205220 is 225021344411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 381659541796 + 762771663424 = 617786^2 + 873368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7271429 + ... + 7427148.

It is an arithmetic number, because the mean of its divisors is an integer number (53245598805).

Almost surely, 21144431205220 is an apocalyptic number.

1144431205220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144431205220 is an abundant number, since it is smaller than the sum of its proper divisors (1411357537420).

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

1144431205220 is a wasteful number, since it uses less digits than its factorization.

1144431205220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14698832 (or 14698830 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 1144431205220 its reverse (225021344411), we get a palindrome (1369452549631).

The spelling of 1144431205220 in words is "one trillion, one hundred forty-four billion, four hundred thirty-one million, two hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 229 340 458 916 1145 2290 3893 4580 7786 15572 19465 38930 77860 14698577 29397154 58794308 73492885 146985770 249875809 293971540 499751618 999503236 1249379045 2498758090 3365974133 4997516180 6731948266 13463896532 16829870665 33659741330 57221560261 67319482660 114443120522 228886241044 286107801305 572215602610 1144431205220