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1444110983168 = 2137160715671
BaseRepresentation
bin10101000000111011101…
…110001110000000000000
312010001111120120220201012
4111000323232032000000
5142130014402430133
63023225422100052
7206222262552350
oct25007356160000
95101446526635
101444110983168
11507498002887
121b3a65a1a628
13a6243598849
144dc76b7ab60
15278709e0b48
hex1503bb8e000

1444110983168 has 112 divisors (see below), whose sum is σ = 3302888292864. Its totient is φ = 618480107520.

The previous prime is 1444110983101. The next prime is 1444110983221. The reversal of 1444110983168 is 8613890114441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92143973 + ... + 92159643.

Almost surely, 21444110983168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444110983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651444146432).

1444110983168 is an abundant number, since it is smaller than the sum of its proper divisors (1858777309696).

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

1444110983168 is an equidigital number, since it uses as much as digits as its factorization.

1444110983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17311 (or 17287 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The spelling of 1444110983168 in words is "one trillion, four hundred forty-four billion, one hundred ten million, nine hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1607 1792 2048 3214 3584 4096 6428 7168 8192 11249 12856 14336 15671 22498 25712 28672 31342 44996 51424 57344 62684 89992 102848 109697 125368 179984 205696 219394 250736 359968 411392 438788 501472 719936 822784 877576 1002944 1439872 1645568 1755152 2005888 2879744 3291136 3510304 4011776 5759488 6582272 7020608 8023552 11518976 13164544 14041216 16047104 23037952 25183297 28082432 32094208 46075904 50366594 56164864 64188416 92151808 100733188 112329728 128376832 176283079 201466376 224659456 352566158 402932752 449318912 705132316 805865504 898637824 1410264632 1611731008 2820529264 3223462016 5641058528 6446924032 11282117056 12893848064 22564234112 25787696128 45128468224 51575392256 90256936448 103150784512 180513872896 206301569024 361027745792 722055491584 1444110983168