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13410514143220 = 22529532811552513
BaseRepresentation
bin1100001100100110000011…
…1011101000011111110100
31202111000212210021201022011
43003021200323220133310
53224204213110040340
644304412151214004
72552610020265235
oct303114073503764
952430783251264
1013410514143220
114300404693557
12160706a077304
137637b567b67c
1434510274508c
15183c8914c0ea
hexc3260ee87f4

13410514143220 has 96 divisors (see below), whose sum is σ = 29788520821920. Its totient is φ = 5063424737280.

The previous prime is 13410514143161. The next prime is 13410514143253. The reversal of 13410514143220 is 2234141501431.

It is a happy number.

13410514143220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 534086179344 + 12876427963876 = 730812^2 + 3588374^2 .

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, 7861684 + ... + 9414196.

It is an arithmetic number, because the mean of its divisors is an integer number (310297091895).

Almost surely, 213410514143220 is an apocalyptic number.

13410514143220 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 13410514143220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894260410960).

13410514143220 is an abundant number, since it is smaller than the sum of its proper divisors (16378006678700).

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

13410514143220 is a wasteful number, since it uses less digits than its factorization.

13410514143220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552885 (or 1552883 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 13410514143220 its reverse (2234141501431), we get a palindrome (15644655644651).

The spelling of 13410514143220 in words is "thirteen trillion, four hundred ten billion, five hundred fourteen million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 281 290 530 562 580 1060 1124 1405 1537 2810 3074 5620 6148 7685 8149 14893 15370 16298 29786 30740 32596 40745 59572 74465 81490 148930 162980 297860 431897 863794 1552513 1727588 2159485 3105026 4318970 6210052 7762565 8637940 15525130 31050260 45022877 82283189 90045754 164566378 180091508 225114385 329132756 411415945 436256153 450228770 822831890 872512306 900457540 1645663780 1745024612 2181280765 2386212481 4362561530 4772424962 8725123060 9544849924 11931062405 12651428437 23121576109 23862124810 25302856874 46243152218 47724249620 50605713748 63257142185 92486304436 115607880545 126514284370 231215761090 253028568740 462431522180 670525707161 1341051414322 2682102828644 3352628535805 6705257071610 13410514143220