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10444241001120 = 253522397573253
BaseRepresentation
bin1001011111111011110101…
…0001100101101010100000
31100222110102010001100011020
42113332331101211222200
52332104301144013440
634114003523245440
72125400012505003
oct227767521455240
940873363040136
1010444241001120
113367417845363
1212081b7219880
135a9b7037c224
1428170ac2953a
15131a2a8013d0
hex97fbd465aa0

10444241001120 has 96 divisors (see below), whose sum is σ = 33046890250752. Its totient is φ = 2772641528832.

The previous prime is 10444241001119. The next prime is 10444241001137. The reversal of 10444241001120 is 2110014244401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48679587 + ... + 48893666.

It is an arithmetic number, because the mean of its divisors is an integer number (344238440112).

Almost surely, 210444241001120 is an apocalyptic number.

10444241001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444241001120 is an abundant number, since it is smaller than the sum of its proper divisors (22602649249632).

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

10444241001120 is a wasteful number, since it uses less digits than its factorization.

10444241001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97573494 (or 97573486 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10444241001120 its reverse (2110014244401), we get a palindrome (12554255245521).

The spelling of 10444241001120 in words is "ten trillion, four hundred forty-four billion, two hundred forty-one million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 223 240 446 480 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 7136 8920 10704 13380 17840 21408 26760 35680 53520 107040 97573253 195146506 292719759 390293012 487866265 585439518 780586024 975732530 1170879036 1463598795 1561172048 1951465060 2341758072 2927197590 3122344096 3902930120 4683516144 5854395180 7805860240 9367032288 11708790360 15611720480 21758835419 23417580720 43517670838 46835161440 65276506257 87035341676 108794177095 130553012514 174070683352 217588354190 261106025028 326382531285 348141366704 435176708380 522212050056 652765062570 696282733408 870353416760 1044424100112 1305530125140 1740706833520 2088848200224 2611060250280 3481413667040 5222120500560 10444241001120