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1420214120241 = 37175996641387
BaseRepresentation
bin10100101010101011010…
…110111010111100110001
312000202211011102111110220
4110222223112322330301
5141232044303321431
63004234245243253
7204415141561140
oct24525326727461
95022734374426
101420214120241
114a8344933a94
121ab2b6a03529
13a3c05770b77
144ca4b10b757
1526e22ac3b96
hex14aab5baf31

1420214120241 has 32 divisors (see below), whose sum is σ = 2295263692800. Its totient is φ = 762537374976.

The previous prime is 1420214120231. The next prime is 1420214120257.

It is a happy number.

1420214120241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1420214120241 - 25 = 1420214120209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1420214120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3106851 + ... + 3534536.

It is an arithmetic number, because the mean of its divisors is an integer number (71726990400).

Almost surely, 21420214120241 is an apocalyptic number.

It is an amenable number.

1420214120241 is a deficient number, since it is larger than the sum of its proper divisors (875049572559).

1420214120241 is a wasteful number, since it uses less digits than its factorization.

1420214120241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642013.

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 1420214120241 in words is "one trillion, four hundred twenty billion, two hundred fourteen million, one hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 7 17 21 51 119 357 599 1797 4193 10183 12579 30549 71281 213843 6641387 19924161 46489709 112903579 139469127 338710737 790325053 2370975159 3978190813 11934572439 27847335691 67629243821 83542007073 202887731463 473404706747 1420214120241