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4252231041344 = 2611133131484419
BaseRepresentation
bin111101111000001100101…
…110001000000101000000
3120001111202021220012102022
4331320030232020011000
51024132032121310334
613013240432341012
7616133151325436
oct75701456100500
916044667805368
104252231041344
11139a3a7627240
1258813b6a4768
1324aca3166c20
14109b4818cd56
1575924ac382e
hex3de0cb88140

4252231041344 has 112 divisors (see below), whose sum is σ = 9944877727680. Its totient is φ = 1778451517440.

The previous prime is 4252231041343. The next prime is 4252231041353. The reversal of 4252231041344 is 4431401322524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252231041343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122367 + ... + 3606785.

It is an arithmetic number, because the mean of its divisors is an integer number (88793551140).

Almost surely, 24252231041344 is an apocalyptic number.

4252231041344 is a gapful number since it is divisible by the number (44) 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 4252231041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972438863840).

4252231041344 is an abundant number, since it is smaller than the sum of its proper divisors (5692646686336).

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

4252231041344 is a wasteful number, since it uses less digits than its factorization.

4252231041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484768 (or 1484758 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 4252231041344 its reverse (4431401322524), we get a palindrome (8683632363868).

The spelling of 4252231041344 in words is "four trillion, two hundred fifty-two billion, two hundred thirty-one million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 313 352 416 572 626 704 832 1144 1252 2288 2504 3443 4069 4576 5008 6886 8138 9152 10016 13772 16276 20032 27544 32552 44759 55088 65104 89518 110176 130208 179036 220352 260416 358072 716144 1432288 1484419 2864576 2968838 5937676 11875352 16328609 19297447 23750704 32657218 38594894 47501408 65314436 77189788 95002816 130628872 154379576 212271917 261257744 308759152 424543834 464623147 522515488 617518304 849087668 929246294 1045030976 1235036608 1698175336 1858492588 3396350672 3716985176 5110854617 6040100911 6792701344 7433970352 10221709234 12080201822 13585402688 14867940704 20443418468 24160403644 29735881408 40886836936 48320807288 66441110021 81773673872 96641614576 132882220042 163547347744 193283229152 265764440084 327094695488 386566458304 531528880168 1063057760336 2126115520672 4252231041344