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144100113241241 = 5961893889115679
BaseRepresentation
bin100000110000111011101100…
…000011111101010010011001
3200220012211120122122211120002
4200300323230003331102121
5122341414012442204431
61230250402251142345
742231614065562123
oct4060735403752231
9626184518584502
10144100113241241
1141a07573273813
12141b36984449b5
136253775617301
1427826a8728213
15119d5945ee3cb
hex830eec0fd499

144100113241241 has 32 divisors (see below), whose sum is σ = 150658392960000. Its totient is φ = 137733297039360.

The previous prime is 144100113241181. The next prime is 144100113241261. The reversal of 144100113241241 is 142142311001441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144100113241241 is a prime.

It is a super-2 number, since 2×1441001132412412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144100113241261) 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, 1245631640 + ... + 1245747318.

It is an arithmetic number, because the mean of its divisors is an integer number (4708074780000).

Almost surely, 2144100113241241 is an apocalyptic number.

It is an amenable number.

144100113241241 is a deficient number, since it is larger than the sum of its proper divisors (6558279718759).

144100113241241 is a wasteful number, since it uses less digits than its factorization.

144100113241241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119777.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 144100113241241 its reverse (142142311001441), we get a palindrome (286242424242682).

The spelling of 144100113241241 in words is "one hundred forty-four trillion, one hundred billion, one hundred thirteen million, two hundred forty-one thousand, two hundred forty-one".

Divisors: 1 59 61 89 3599 3889 5251 5429 115679 229451 237229 320311 346121 6825061 7056419 10295431 13996511 20421139 21113381 416328721 449875631 607430429 628021291 1245689479 26542662229 27442413491 37053256169 40038931159 1619102395969 2362296938381 2442374800699 144100113241241