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11421244224 = 2632131525273
BaseRepresentation
bin10101010001100001…
…00101101101000000
31002110222002022200100
422220300211231000
5141342314303344
65125152522400
7553012655055
oct125060455500
932428068610
1011421244224
114930aa3915
122268b50400
1311002967a0
147a4c0502c
1546ca4c569
hex2a8c25b40

11421244224 has 84 divisors (see below), whose sum is σ = 35255183236. Its totient is φ = 3514226688.

The previous prime is 11421244199. The next prime is 11421244271. The reversal of 11421244224 is 42244212411.

11421244224 is a `hidden beast` number, since 1 + 1 + 4 + 212 + 442 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3914754624 + 7506489600 = 62568^2 + 86640^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755149 + ... + 770124.

Almost surely, 211421244224 is an apocalyptic number.

It is an amenable number.

11421244224 is an abundant number, since it is smaller than the sum of its proper divisors (23833939012).

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

11421244224 is a wasteful number, since it uses less digits than its factorization.

11421244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525304 (or 1525291 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 11421244224 its reverse (42244212411), we get a palindrome (53665456635).

The spelling of 11421244224 in words is "eleven billion, four hundred twenty-one million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 1525273 3050546 4575819 6101092 9151638 12202184 13727457 18303276 19828549 24404368 27454914 36606552 39657098 48808736 54909828 59485647 73213104 79314196 97617472 109819656 118971294 146426208 158628392 178456941 219639312 237942588 292852416 317256784 356913882 439278624 475885176 634513568 713827764 878557248 951770352 1269027136 1427655528 1903540704 2855311056 3807081408 5710622112 11421244224