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10032241344 = 26362878311
BaseRepresentation
bin10010101011111011…
…11101101011000000
3221220011102122221020
421111331331223000
5131021223210334
64335253425440
7503415434016
oct112575755300
927804378836
1010032241344
114288a36454
121b3b93b280
13c3b5986a8
146b25568b6
153dab2ae49
hex255f7dac0

10032241344 has 56 divisors (see below), whose sum is σ = 26551054848. Its totient is φ = 3343146240.

The previous prime is 10032241313. The next prime is 10032241367. The reversal of 10032241344 is 44314223001.

It is a super-3 number, since 3×100322413443 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 1202949 + ... + 1211259.

Almost surely, 210032241344 is an apocalyptic number.

It is an amenable number.

10032241344 is an abundant number, since it is smaller than the sum of its proper divisors (16518813504).

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

10032241344 is an equidigital number, since it uses as much as digits as its factorization.

10032241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14613 (or 14603 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10032241344 its reverse (44314223001), we get a palindrome (54346464345).

The spelling of 10032241344 in words is "ten billion, thirty-two million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 6287 8311 12574 16622 18861 24933 25148 33244 37722 49866 50296 66488 75444 99732 100592 132976 150888 199464 201184 265952 301776 398928 402368 531904 603552 797856 1207104 1595712 52251257 104502514 156753771 209005028 313507542 418010056 627015084 836020112 1254030168 1672040224 2508060336 3344080448 5016120672 10032241344