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244524035424 = 25341283219523
BaseRepresentation
bin1110001110111011000…
…1001010110101100000
3212101011022010000220110
43203232301022311200
513001241123113144
6304155514411320
723444351002314
oct3435661126540
9771138100813
10244524035424
119477a496a99
123b482730b40
131a09b742376
14bb99453b44
1565621e60b9
hex38eec4ad60

244524035424 has 96 divisors (see below), whose sum is σ = 659857532544. Its totient is φ = 79238661120.

The previous prime is 244524035417. The next prime is 244524035507. The reversal of 244524035424 is 424530425442.

244524035424 is digitally balanced in base 2, 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004127 + ... + 1223649.

It is an arithmetic number, because the mean of its divisors is an integer number (6873515964).

Almost surely, 2244524035424 is an apocalyptic number.

244524035424 is a gapful number since it is divisible by the number (24) 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 244524035424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329928766272).

244524035424 is an abundant number, since it is smaller than the sum of its proper divisors (415333497120).

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

244524035424 is a wasteful number, since it uses less digits than its factorization.

244524035424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219860 (or 219852 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 39.

The spelling of 244524035424 in words is "two hundred forty-four billion, five hundred twenty-four million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 283 328 492 566 656 849 984 1132 1312 1698 1968 2264 3396 3936 4528 6792 9056 11603 13584 23206 27168 34809 46412 69618 92824 139236 185648 219523 278472 371296 439046 556944 658569 878092 1113888 1317138 1756184 2634276 3512368 5268552 7024736 9000443 10537104 18000886 21074208 27001329 36001772 54002658 62125009 72003544 108005316 124250018 144007088 186375027 216010632 248500036 288014176 372750054 432021264 497000072 745500108 864042528 994000144 1491000216 1988000288 2547125369 2982000432 5094250738 5964000864 7641376107 10188501476 15282752214 20377002952 30565504428 40754005904 61131008856 81508011808 122262017712 244524035424