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13611144356120 = 23517433347139079
BaseRepresentation
bin1100011000010001011101…
…1011001010000100011000
31210012012202001102112101002
43012010113123022010120
53241001110423343440
644540512353044132
72603241563044523
oct306042733120430
953165661375332
1013611144356120
1143784aa168a63
121639b20856648
137796aa41428c
14350ad63d5bba
151890ccaab115
hexc61176ca118

13611144356120 has 128 divisors (see below), whose sum is σ = 33190807795200. Its totient is φ = 5003496830976.

The previous prime is 13611144356083. The next prime is 13611144356323. The reversal of 13611144356120 is 2165344111631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97796741 + ... + 97935819.

It is an arithmetic number, because the mean of its divisors is an integer number (259303185900).

Almost surely, 213611144356120 is an apocalyptic number.

13611144356120 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 13611144356120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595403897600).

13611144356120 is an abundant number, since it is smaller than the sum of its proper divisors (19579663439080).

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

13611144356120 is a wasteful number, since it uses less digits than its factorization.

13611144356120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142497 (or 142493 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

Adding to 13611144356120 its reverse (2165344111631), we get a palindrome (15776488467751).

The spelling of 13611144356120 in words is "thirteen trillion, six hundred eleven billion, one hundred forty-four million, three hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1462 1720 2924 3347 3655 5848 6694 7310 13388 14620 16735 26776 29240 33470 56899 66940 113798 133880 139079 143921 227596 278158 284495 287842 455192 556316 568990 575684 695395 719605 1112632 1137980 1151368 1390790 1439210 2275960 2364343 2446657 2781580 2878420 4728686 4893314 5563160 5756840 5980397 9457372 9786628 11821715 11960794 12233285 18914744 19573256 23643430 23921588 24466570 29901985 47286860 47843176 48933140 59803970 94573720 97866280 101666749 119607940 203333498 239215880 406666996 465497413 508333745 813333992 930994826 1016667490 1861989652 2033334980 2327487065 3723979304 4066669960 4654974130 7913456021 9309948260 15826912042 18619896520 20016388759 31653824084 39567280105 40032777518 63307648168 79134560210 80065555036 100081943795 158269120420 160131110072 200163887590 316538240840 340278608903 400327775180 680557217806 800655550360 1361114435612 1701393044515 2722228871224 3402786089030 6805572178060 13611144356120