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1241145216 = 273210710069
BaseRepresentation
bin100100111111010…
…0101111110000000
310012111102201011100
41021332211332000
510020213121331
6323054014400
742520363113
oct11176457600
93174381140
101241145216
11587659853
122a77a7400
1316a19c36c
14baba057a
1573e66ae6
hex49fa5f80

1241145216 has 96 divisors (see below), whose sum is σ = 3605261400. Its totient is φ = 409807872.

The previous prime is 1241145203. The next prime is 1241145253. The reversal of 1241145216 is 6125411421.

1241145216 is a `hidden beast` number, since 1 + 24 + 114 + 521 + 6 = 666.

1241145216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1241145216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118230 + ... + 128298.

Almost surely, 21241145216 is an apocalyptic number.

1241145216 is a gapful number since it is divisible by the number (16) 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 1241145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802630700).

1241145216 is an abundant number, since it is smaller than the sum of its proper divisors (2364116184).

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

1241145216 is a wasteful number, since it uses less digits than its factorization.

1241145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10196 (or 10181 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1241145216 is about 35229.8909450484. The cubic root of 1241145216 is about 1074.6677079325.

Adding to 1241145216 its reverse (6125411421), we get a palindrome (7366556637).

The spelling of 1241145216 in words is "one billion, two hundred forty-one million, one hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 288 321 384 428 576 642 856 963 1152 1284 1712 1926 2568 3424 3852 5136 6848 7704 10069 10272 13696 15408 20138 20544 30207 30816 40276 41088 60414 61632 80552 90621 120828 123264 161104 181242 241656 322208 362484 483312 644416 724968 966624 1077383 1288832 1449936 1933248 2154766 2899872 3232149 3866496 4309532 5799744 6464298 8619064 9696447 11599488 12928596 17238128 19392894 25857192 34476256 38785788 51714384 68952512 77571576 103428768 137905024 155143152 206857536 310286304 413715072 620572608 1241145216