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13341021403440 = 2435199509548791
BaseRepresentation
bin1100001000100011001011…
…0101110111100100110000
31202020101111201102202122010
43002020302311313210300
53222034402434402230
644212440340442520
72544566642611323
oct302106265674460
952211451382563
1013341021403440
114283993867605
1215b56b50a9440
1375a08c35b8c3
143419cd2547ba
1518206d33a9b0
hexc2232d77930

13341021403440 has 160 divisors (see below), whose sum is σ = 41646727296000. Its totient is φ = 3532767575040.

The previous prime is 13341021403421. The next prime is 13341021403471. The reversal of 13341021403440 is 4430412014331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13341021403398 and 13341021403407.

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, 24035445 + ... + 24584235.

It is an arithmetic number, because the mean of its divisors is an integer number (260292045600).

Almost surely, 213341021403440 is an apocalyptic number.

13341021403440 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 13341021403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20823363648000).

13341021403440 is an abundant number, since it is smaller than the sum of its proper divisors (28305705892560).

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

13341021403440 is a wasteful number, since it uses less digits than its factorization.

13341021403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549515 (or 549509 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13341021403440 its reverse (4430412014331), we get a palindrome (17771433417771).

The spelling of 13341021403440 in words is "thirteen trillion, three hundred forty-one billion, twenty-one million, four hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 509 597 796 995 1018 1194 1527 1592 1990 2036 2388 2545 2985 3054 3184 3980 4072 4776 5090 5970 6108 7635 7960 8144 9552 10180 11940 12216 15270 15920 20360 23880 24432 30540 40720 47760 61080 101291 122160 202582 303873 405164 506455 548791 607746 810328 1012910 1097582 1215492 1519365 1620656 1646373 2025820 2195164 2430984 2743955 3038730 3292746 4051640 4390328 4861968 5487910 6077460 6585492 8103280 8231865 8780656 10975820 12154920 13170984 16463730 21951640 24309840 26341968 32927460 43903280 65854920 109209409 131709840 218418818 279334619 327628227 436837636 546047045 558669238 655256454 838003857 873675272 1092094090 1117338476 1310512908 1396673095 1638141135 1676007714 1747350544 2184188180 2234676952 2621025816 2793346190 3276282270 3352015428 4190019285 4368376360 4469353904 5242051632 5586692380 6552564540 6704030856 8380038570 8736752720 11173384760 13105129080 13408061712 16760077140 22346769520 26210258160 33520154280 55587589181 67040308560 111175178362 166762767543 222350356724 277937945905 333525535086 444700713448 555875891810 667051070172 833813837715 889401426896 1111751783620 1334102140344 1667627675430 2223503567240 2668204280688 3335255350860 4447007134480 6670510701720 13341021403440