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1241042496 = 263107193313
BaseRepresentation
bin100100111111000…
…1100111001000000
310012111020111020220
41021332030321000
510020201324441
6323051503040
742516454461
oct11176147100
93174214226
101241042496
11587599661
122a7757a80
1316a164695
14bab74d68
1573e46466
hex49f8ce40

1241042496 has 112 divisors (see below), whose sum is σ = 3342095424. Its totient is φ = 406388736.

The previous prime is 1241042471. The next prime is 1241042497. The reversal of 1241042496 is 6942401421.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1241042497) 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, 3964836 + ... + 3965148.

Almost surely, 21241042496 is an apocalyptic number.

1241042496 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 1241042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671047712).

1241042496 is an abundant number, since it is smaller than the sum of its proper divisors (2101052928).

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

1241042496 is a wasteful number, since it uses less digits than its factorization.

1241042496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1241042496 is about 35228.4330619459. The cubic root of 1241042496 is about 1074.6380598003.

The spelling of 1241042496 in words is "one billion, two hundred forty-one million, forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 193 214 313 321 386 428 579 626 642 772 856 939 1158 1252 1284 1544 1712 1878 2316 2504 2568 3088 3424 3756 4632 5008 5136 6176 6848 7512 9264 10016 10272 12352 15024 18528 20032 20544 20651 30048 33491 37056 41302 60096 60409 61953 66982 82604 100473 120818 123906 133964 165208 181227 200946 241636 247812 267928 330416 362454 401892 483272 495624 535856 660832 724908 803784 966544 991248 1071712 1321664 1449816 1607568 1933088 1982496 2143424 2899632 3215136 3866176 3964992 5799264 6430272 6463763 11598528 12927526 19391289 25855052 38782578 51710104 77565156 103420208 155130312 206840416 310260624 413680832 620521248 1241042496