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1214057744 = 241973227241
BaseRepresentation
bin100100001011101…
…0000110100010000
310010121110112010122
41020113100310100
54441244321434
6320245245412
742041214644
oct11027206420
93117415118
101214057744
11573338609
1229a703868
131646a6c83
14b734cc24
15718b5c2e
hex485d0d10

1214057744 has 80 divisors (see below), whose sum is σ = 2531474880. Its totient is φ = 562360320.

The previous prime is 1214057717. The next prime is 1214057749. The reversal of 1214057744 is 4477504121.

It is not an unprimeable number, because it can be changed into a prime (1214057749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5037464 + ... + 5037704.

It is an arithmetic number, because the mean of its divisors is an integer number (31643436).

Almost surely, 21214057744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214057744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265737440).

1214057744 is an abundant number, since it is smaller than the sum of its proper divisors (1317417136).

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

1214057744 is a wasteful number, since it uses less digits than its factorization.

1214057744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 1214057744 is about 34843.3314136292. The cubic root of 1214057744 is about 1066.7920760535.

The spelling of 1214057744 in words is "one billion, two hundred fourteen million, fifty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 227 241 292 304 454 482 584 908 964 1168 1387 1816 1928 2774 3632 3856 4313 4579 5548 8626 9158 11096 16571 17252 17593 18316 22192 33142 34504 35186 36632 54707 66284 69008 70372 73264 109414 132568 140744 218828 265136 281488 314849 334267 437656 629698 668534 875312 1039433 1259396 1337068 2078866 2518792 2674136 3993611 4157732 5037584 5348272 7987222 8315464 15974444 16630928 31948888 63897776 75878609 151757218 303514436 607028872 1214057744