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144044331414300 = 223252160049257127
BaseRepresentation
bin100000110000000111101111…
…001101001011001100011100
3200220000111121010022102102200
4200300013233031023030130
5122340010242320224200
61230205015145051500
742224600546065062
oct4060075715131434
9626014533272380
10144044331414300
1141995948945599
12141a490b186b90
13624b425a59815
14277dad617c032
15119bdcc36a800
hex8301ef34b31c

144044331414300 has 54 divisors (see below), whose sum is σ = 451498954358088. Its totient is φ = 38411821710240.

The previous prime is 144044331414257. The next prime is 144044331414329. The reversal of 144044331414300 is 3414133440441.

144044331414300 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 4 + 331 + 4 + 14 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 80024627664 + ... + 80024629463.

It is an arithmetic number, because the mean of its divisors is an integer number (8361091747372).

Almost surely, 2144044331414300 is an apocalyptic number.

144044331414300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044331414300 is an abundant number, since it is smaller than the sum of its proper divisors (307454622943788).

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

144044331414300 is a wasteful number, since it uses less digits than its factorization.

144044331414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160049257147 (or 160049257137 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144044331414300 its reverse (3414133440441), we get a palindrome (147458464854741).

The spelling of 144044331414300 in words is "one hundred forty-four trillion, forty-four billion, three hundred thirty-one million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 160049257127 320098514254 480147771381 640197028508 800246285635 960295542762 1440443314143 1600492571270 1920591085524 2400738856905 2880886628286 3200985142540 4001231428175 4801477713810 5761773256572 7202216570715 8002462856350 9602955427620 12003694284525 14404433141430 16004925712700 24007388569050 28808866282860 36011082853575 48014777138100 72022165707150 144044331414300