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1242161024 = 271319101389
BaseRepresentation
bin100101000001001…
…1101111110000000
310012120100022120212
41022002131332000
510020443123044
6323131453252
742532123466
oct11202357600
93176308525
101242161024
11588192a65
122a7bb7228
1316a466830
14bad86836
15740b7a9e
hex4a09df80

1242161024 has 128 divisors (see below), whose sum is σ = 2840292000. Its totient is φ = 536371200.

The previous prime is 1242161017. The next prime is 1242161029. The reversal of 1242161024 is 4201612421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242161029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3193022 + ... + 3193410.

Almost surely, 21242161024 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 1242161024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420146000).

1242161024 is an abundant number, since it is smaller than the sum of its proper divisors (1598130976).

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

1242161024 is a wasteful number, since it uses less digits than its factorization.

1242161024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1242161024 is about 35244.3048448966. The cubic root of 1242161024 is about 1074.9608131380.

Adding to 1242161024 its reverse (4201612421), we get a palindrome (5443773445).

The spelling of 1242161024 in words is "one billion, two hundred forty-two million, one hundred sixty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 101 104 128 152 202 208 247 304 389 404 416 494 608 778 808 832 988 1216 1313 1556 1616 1664 1919 1976 2432 2626 3112 3232 3838 3952 5057 5252 6224 6464 7391 7676 7904 10114 10504 12448 12928 14782 15352 15808 20228 21008 24896 24947 29564 30704 31616 39289 40456 42016 49792 49894 59128 61408 78578 80912 84032 96083 99788 118256 122816 157156 161824 168064 192166 199576 236512 245632 314312 323648 384332 399152 473024 510757 628624 647296 746491 768664 798304 946048 1021514 1257248 1492982 1537328 1596608 2043028 2514496 2985964 3074656 3193216 4086056 5028992 5971928 6149312 8172112 9704383 11943856 12298624 16344224 19408766 23887712 32688448 38817532 47775424 65376896 77635064 95550848 155270128 310540256 621080512 1242161024