Search a number
-
+
1410224220141 = 3112101349910993
BaseRepresentation
bin10100100001010111111…
…010011110011111101101
311222211000221122222210220
4110201113322132133231
5141101114400021031
62555503103121553
7203612446043022
oct24412772363755
94884027588726
101410224220141
114a4088898200
121a93892a32b9
13a2ca2bab889
144c380457549
1526a3aa5d596
hex14857e9e7ed

1410224220141 has 48 divisors (see below), whose sum is σ = 2088024456000. Its totient is φ = 845900352000.

The previous prime is 1410224220103. The next prime is 1410224220143.

It is a happy number.

1410224220141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1410224220141 - 26 = 1410224220077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410224220143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128278341 + ... + 128289333.

It is an arithmetic number, because the mean of its divisors is an integer number (43500509500).

Almost surely, 21410224220141 is an apocalyptic number.

1410224220141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1410224220141 is a deficient number, since it is larger than the sum of its proper divisors (677800235859).

1410224220141 is a wasteful number, since it uses less digits than its factorization.

1410224220141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14618 (or 14607 counting only the distinct ones).

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

The spelling of 1410224220141 in words is "one trillion, four hundred ten billion, two hundred twenty-four million, two hundred twenty thousand, one hundred forty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 3499 10497 10993 12221 32979 36663 38489 115467 120923 353399 362769 423379 1060197 1110293 1270137 1330153 3330879 3887389 3990459 11662167 12213223 36639669 38464507 42761279 115393521 128283837 134345453 403036359 423109577 1269328731 3884915207 4654205347 11654745621 13962616041 42734067277 128202201831 470074740047 1410224220141