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13441120131420 = 223254491231135101
BaseRepresentation
bin1100001110011000000100…
…1100001101100101011100
31202120221212202212000012200
43003212001030031211130
53230204403223201140
644330433151531500
72555042326013442
oct303460114154534
952527782760180
1013441120131420
11431238a9a5483
121610b8bb29b90
13766652457b67
143467a7454b92
1518497b078030
hexc398130d95c

13441120131420 has 144 divisors (see below), whose sum is σ = 40895699644800. Its totient is φ = 3573384192000.

The previous prime is 13441120131401. The next prime is 13441120131427. The reversal of 13441120131420 is 2413102114431.

It is a happy number.

13441120131420 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 1 + 201 + 31 + 420 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13441120131427) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 99421870 + ... + 99556970.

It is an arithmetic number, because the mean of its divisors is an integer number (283997914200).

Almost surely, 213441120131420 is an apocalyptic number.

13441120131420 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 13441120131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447849822400).

13441120131420 is an abundant number, since it is smaller than the sum of its proper divisors (27454579513380).

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

13441120131420 is a wasteful number, since it uses less digits than its factorization.

13441120131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136796 (or 136791 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13441120131420 its reverse (2413102114431), we get a palindrome (15854222245851).

The spelling of 13441120131420 in words is "thirteen trillion, four hundred forty-one billion, one hundred twenty million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449 898 1231 1347 1796 2245 2462 2694 3693 4041 4490 4924 5388 6155 6735 7386 8082 8980 11079 12310 13470 14772 16164 18465 20205 22158 24620 26940 36930 40410 44316 55395 73860 80820 110790 135101 221580 270202 405303 540404 552719 675505 810606 1105438 1215909 1351010 1621212 1658157 2026515 2210876 2431818 2702020 2763595 3316314 4053030 4863636 4974471 5527190 6079545 6632628 8106060 8290785 9948942 11054380 12159090 16581570 19897884 24318180 24872355 33163140 49744710 60660349 99489420 121320698 166309331 181981047 242641396 303301745 332618662 363962094 498927993 545943141 606603490 665237324 727924188 831546655 909905235 997855986 1091886282 1213206980 1496783979 1663093310 1819810470 1995711972 2183772564 2494639965 2729715705 2993567958 3326186620 3639620940 4989279930 5459431410 5987135916 7483919895 9978559860 10918862820 14967839790 29935679580 74672889619 149345779238 224018668857 298691558476 373364448095 448037337714 672056006571 746728896190 896074675428 1120093344285 1344112013142 1493457792380 2240186688570 2688224026284 3360280032855 4480373377140 6720560065710 13441120131420