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13405422411012 = 22319233360769959
BaseRepresentation
bin1100001100010011000101…
…1100001101110100000100
31202110112201221021220210210
43003010301130031310010
53224113301114123022
644302211021515420
72552336602262022
oct303046134156404
952415657256723
1013405422411012
1142a9231521805
121606088a12b70
13763183812588
14344b7c405712
15183a8c125a0c
hexc313170dd04

13405422411012 has 96 divisors (see below), whose sum is σ = 33076550707200. Its totient is φ = 4213893825792.

The previous prime is 13405422410981. The next prime is 13405422411023. The reversal of 13405422411012 is 21011422450431.

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, 191583289 + ... + 191653247.

It is an arithmetic number, because the mean of its divisors is an integer number (344547403200).

Almost surely, 213405422411012 is an apocalyptic number.

13405422411012 is a gapful number since it is divisible by the number (12) 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 13405422411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538275353600).

13405422411012 is an abundant number, since it is smaller than the sum of its proper divisors (19671128296188).

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

13405422411012 is a wasteful number, since it uses less digits than its factorization.

13405422411012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73825 (or 73823 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 13405422411012 its reverse (21011422450431), we get a palindrome (34416844861443).

The spelling of 13405422411012 in words is "thirteen trillion, four hundred five billion, four hundred twenty-two million, four hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 233 466 699 932 1398 2796 3607 4427 7214 8854 10821 13281 14428 17708 21642 26562 43284 53124 68533 69959 137066 139918 205599 209877 274132 279836 411198 419754 822396 839508 840431 1329221 1680862 2521293 2658442 3361724 3987663 5042586 5316884 7975326 10085172 15950652 15968189 16300447 31936378 32600894 47904567 48901341 63872756 65201788 95809134 97802682 191618268 195605364 252342113 309708493 504684226 619416986 757026339 929125479 1009368452 1238833972 1514052678 1858250958 3028105356 3716501916 4794500147 9589000294 14383500441 19178000588 28767000882 57534001764 58795712329 117591424658 176387136987 235182849316 352774273974 705548547948 1117118534251 2234237068502 3351355602753 4468474137004 6702711205506 13405422411012