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4003341144 = 2331121378561
BaseRepresentation
bin1110111010011110…
…0010001101011000
3101022222222210122020
43232213202031120
531144323404034
61501125254440
7201130560345
oct35647421530
911288883566
104003341144
111774866500
12938864420
134ba52141a
1429d9837cc
151866d5249
hexee9e2358

4003341144 has 48 divisors (see below), whose sum is σ = 11000924760. Its totient is φ = 1213132800.

The previous prime is 4003341119. The next prime is 4003341157. The reversal of 4003341144 is 4411433004.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 686377 + ... + 692184.

Almost surely, 24003341144 is an apocalyptic number.

4003341144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4003341144 is an abundant number, since it is smaller than the sum of its proper divisors (6997583616).

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

4003341144 is a wasteful number, since it uses less digits than its factorization.

4003341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378592 (or 1378577 counting only the distinct ones).

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

The square root of 4003341144 is about 63271.9617524224. The cubic root of 4003341144 is about 1587.8429069243.

Adding to 4003341144 its reverse (4411433004), we get a palindrome (8414774148).

The spelling of 4003341144 in words is "four billion, three million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 1378561 2757122 4135683 5514244 8271366 11028488 15164171 16542732 30328342 33085464 45492513 60656684 90985026 121313368 166805881 181970052 333611762 363940104 500417643 667223524 1000835286 1334447048 2001670572 4003341144