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1444044343032 = 233359113311703
BaseRepresentation
bin10101000000110111110…
…000000000011011111000
312010001022221012020122000
4111000313300000123320
5142124400322434112
63023215041501000
7206220523251264
oct25006760003370
95101287166560
101444044343032
11507463427095
121b3a47641760
13a6232835405
144dc6bd910a4
1527869c2a7dc
hex15037c006f8

1444044343032 has 64 divisors (see below), whose sum is σ = 4079221344000. Its totient is φ = 473189667552.

The previous prime is 1444044343031. The next prime is 1444044343099. The reversal of 1444044343032 is 2303434404441.

1444044343032 is a `hidden beast` number, since 144 + 4 + 0 + 443 + 43 + 0 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444044343031) 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, 56643108 + ... + 56668595.

It is an arithmetic number, because the mean of its divisors is an integer number (63737833500).

Almost surely, 21444044343032 is an apocalyptic number.

1444044343032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1444044343032 is an abundant number, since it is smaller than the sum of its proper divisors (2635177000968).

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

1444044343032 is a wasteful number, since it uses less digits than its factorization.

1444044343032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113311777 (or 113311767 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 1444044343032 its reverse (2303434404441), we get a palindrome (3747478747473).

The spelling of 1444044343032 in words is "one trillion, four hundred forty-four billion, forty-four million, three hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 4248 6372 12744 113311703 226623406 339935109 453246812 679870218 906493624 1019805327 1359740436 2039610654 2719480872 3059415981 4079221308 6118831962 6685390477 8158442616 12237663924 13370780954 20056171431 24475327848 26741561908 40112342862 53483123816 60168514293 80224685724 120337028586 160449371448 180505542879 240674057172 361011085758 481348114344 722022171516 1444044343032