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1421241120260 = 22513101296918229
BaseRepresentation
bin10100101011101000100…
…100100111011000000100
312000212110201220111122122
4110223220210213120010
5141241200211322020
63004524213345112
7204452452124243
oct24535044473004
95025421814578
101421241120260
114a8821619335
121ab542938198
13a403a4726a0
144cb0768695a
1526e82d3a125
hex14ae8927604

1421241120260 has 96 divisors (see below), whose sum is σ = 3247286565600. Its totient is φ = 519366758400.

The previous prime is 1421241120259. The next prime is 1421241120269. The reversal of 1421241120260 is 620211421241.

It can be written as a sum of positive squares in 16 ways, for example, as 159667373056 + 1261573747204 = 399584^2 + 1123198^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1421241120269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77956826 + ... + 77975054.

It is an arithmetic number, because the mean of its divisors is an integer number (33825901725).

Almost surely, 21421241120260 is an apocalyptic number.

1421241120260 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 1421241120260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623643282800).

1421241120260 is an abundant number, since it is smaller than the sum of its proper divisors (1826045445340).

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

1421241120260 is a wasteful number, since it uses less digits than its factorization.

1421241120260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21321 (or 21319 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 1421241120260 in words is "one trillion, four hundred twenty-one billion, two hundred forty-one million, one hundred twenty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 2969 5252 5938 6565 11876 13130 14845 18229 26260 29690 36458 38597 59380 72916 77194 91145 154388 182290 192985 236977 299869 364580 385970 473954 599738 771940 947908 1184885 1199476 1499345 1841129 2369770 2998690 3682258 3898297 4739540 5997380 7364516 7796594 9205645 15593188 18411290 19491485 23934677 36822580 38982970 47869354 54121901 77965940 95738708 108243802 119673385 216487604 239346770 270609505 478693540 541219010 703584713 1082438020 1407169426 2814338852 3517923565 5466312001 7035847130 10932624002 14071694260 21865248004 27331560005 54663120010 71062056013 109326240020 142124112026 284248224052 355310280065 710620560130 1421241120260