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944709309144 = 2333172111219307
BaseRepresentation
bin11011011111101010001…
…00000001001011011000
310100022110102020022102000
431233311010001023120
5110434231040343034
62001554331041000
7125152530430416
oct15576504011330
93308412208360
10944709309144
1133471585a567
121331112a0160
136b1163ab713
1433a1d1c62b6
1519892699599
hexdbf51012d8

944709309144 has 128 divisors (see below), whose sum is σ = 2791727596800. Its totient is φ = 294974507520.

The previous prime is 944709309121. The next prime is 944709309163. The reversal of 944709309144 is 441903907449.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165139 + ... + 1384445.

It is an arithmetic number, because the mean of its divisors is an integer number (21810371850).

Almost surely, 2944709309144 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 944709309144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395863798400).

944709309144 is an abundant number, since it is smaller than the sum of its proper divisors (1847018287656).

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

944709309144 is a wasteful number, since it uses less digits than its factorization.

944709309144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219550 (or 1219540 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 944709309144 in words is "nine hundred forty-four billion, seven hundred nine million, three hundred nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 211 216 306 408 422 459 612 633 844 918 1224 1266 1688 1836 1899 2532 3587 3672 3798 5064 5697 7174 7596 10761 11394 14348 15192 21522 22788 28696 32283 43044 45576 64566 86088 96849 129132 193698 258264 387396 774792 1219307 2438614 3657921 4877228 7315842 9754456 10973763 14631684 20728219 21947526 29263368 32921289 41456438 43895052 62184657 65842578 82912876 87790104 124369314 131685156 165825752 186553971 248738628 257273777 263370312 373107942 497477256 514547554 559661913 746215884 771821331 1029095108 1119323826 1492431768 1543642662 2058190216 2238647652 2315463993 3087285324 4373654209 4477295304 4630927986 6174570648 6946391979 8747308418 9261855972 13120962627 13892783958 17494616836 18523711944 26241925254 27785567916 34989233672 39362887881 52483850508 55571135832 78725775762 104967701016 118088663643 157451551524 236177327286 314903103048 472354654572 944709309144