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1104404141040 = 243540113038807
BaseRepresentation
bin10000000100100011100…
…111011101001111110000
310220120122211020022110120
4100010203213131033300
5121043304430003130
62203204541330240
7142535110210614
oct20044347351760
93816584208416
101104404141040
11396414389382
1215a05a866980
13801b635b0a5
143b64c37d344
151dadc456910
hex101239dd3f0

1104404141040 has 160 divisors (see below), whose sum is σ = 3435214703616. Its totient is φ = 293514547200.

The previous prime is 1104404141033. The next prime is 1104404141051. The reversal of 1104404141040 is 401414044011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1104404141040.

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, 125396317 + ... + 125405123.

Almost surely, 21104404141040 is an apocalyptic number.

1104404141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104404141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717607351808).

1104404141040 is an abundant number, since it is smaller than the sum of its proper divisors (2330810562576).

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

1104404141040 is a wasteful number, since it uses less digits than its factorization.

1104404141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10521 counting only the distinct ones).

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

Adding to 1104404141040 its reverse (401414044011), we get a palindrome (1505818185051).

The spelling of 1104404141040 in words is "one trillion, one hundred four billion, four hundred four million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 802 1203 1303 1604 2005 2406 2606 3208 3909 4010 4812 5212 6015 6416 6515 7818 8020 8807 9624 10424 12030 13030 15636 16040 17614 19248 19545 20848 24060 26060 26421 31272 32080 35228 39090 44035 48120 52120 52842 62544 70456 78180 88070 96240 104240 105684 132105 140912 156360 176140 211368 264210 312720 352280 422736 522503 528420 704560 1045006 1056840 1567509 2090012 2113680 2612515 3135018 3531607 4180024 5225030 6270036 7063214 7837545 8360048 10450060 10594821 11475521 12540072 14126428 15675090 17658035 20900120 21189642 22951042 25080144 28252856 31350180 34426563 35316070 41800240 42379284 45902084 52974105 56505712 57377605 62700360 68853126 70632140 84758568 91804168 105948210 114755210 125400720 137706252 141264280 169517136 172132815 183608336 211896420 229510420 275412504 282528560 344265630 423792840 459020840 550825008 688531260 847585680 918041680 1377062520 2754125040 4601683921 9203367842 13805051763 18406735684 23008419605 27610103526 36813471368 46016839210 55220207052 69025258815 73626942736 92033678420 110440414104 138050517630 184067356840 220880828208 276101035260 368134713680 552202070520 1104404141040