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144044400343004 = 22719337937027457
BaseRepresentation
bin100000110000000111110011…
…010100000111011111011100
3200220000111202221000100211122
4200300013303110013133130
5122340010412441434004
61230205030050310112
742224602344010310
oct4060076324073734
9626014687010748
10144044400343004
1141995983844767
12141a492a288338
13624b437111835
14277db013a1b40
15119bdd3433cbe
hex8301f35077dc

144044400343004 has 48 divisors (see below), whose sum is σ = 289657876283328. Its totient is φ = 61397252702208.

The previous prime is 144044400343003. The next prime is 144044400343013. The reversal of 144044400343004 is 400343004440441.

It is a super-2 number, since 2×1440444003430042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144044400343003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16983644 + ... + 24011100.

It is an arithmetic number, because the mean of its divisors is an integer number (6034539089236).

Almost surely, 2144044400343004 is an apocalyptic number.

144044400343004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144044400343004 is an abundant number, since it is smaller than the sum of its proper divisors (145613475940324).

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

144044400343004 is a wasteful number, since it uses less digits than its factorization.

144044400343004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031454 (or 7031452 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 144044400343004 its reverse (400343004440441), we get a palindrome (544387404783445).

The spelling of 144044400343004 in words is "one hundred forty-four trillion, forty-four billion, four hundred million, three hundred forty-three thousand, four".

Divisors: 1 2 4 7 14 28 193 386 772 1351 2702 3793 5404 7586 15172 26551 53102 106204 732049 1464098 2928196 5124343 7027457 10248686 14054914 20497372 28109828 49192199 98384398 196768796 1356299201 2712598402 5425196804 9494094407 18988188814 26655144401 37976377628 53310288802 106620577604 186586010807 373172021614 746344043228 5144442869393 10288885738786 20577771477572 36011100085751 72022200171502 144044400343004