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144100113241201 = 13191768132995943
BaseRepresentation
bin100000110000111011101100…
…000011111101010001110001
3200220012211120122122211111121
4200300323230003331101301
5122341414012442204301
61230250402251142241
742231614065562035
oct4060735403752161
9626184518584447
10144100113241201
1141a07573273787
12141b3698444981
1362537756172a0
1427826a87281c5
15119d5945ee3a1
hex830eec0fd471

144100113241201 has 16 divisors (see below), whose sum is σ = 163361598906240. Its totient is φ = 126007542984960.

The previous prime is 144100113241181. The next prime is 144100113241261. The reversal of 144100113241201 is 102142311001441.

It is a de Polignac number, because none of the positive numbers 2k-144100113241201 is a prime.

It is a super-2 number, since 2×1441001132412012 (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 15 ways as a sum of consecutive naturals, for example, 12130765 + ... + 20865178.

It is an arithmetic number, because the mean of its divisors is an integer number (10210099931640).

Almost surely, 2144100113241201 is an apocalyptic number.

It is an amenable number.

144100113241201 is a deficient number, since it is larger than the sum of its proper divisors (19261485665039).

144100113241201 is a wasteful number, since it uses less digits than its factorization.

144100113241201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33013656.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 144100113241201 its reverse (102142311001441), we get a palindrome (246242424242642).

The spelling of 144100113241201 in words is "one hundred forty-four trillion, one hundred billion, one hundred thirteen million, two hundred forty-one thousand, two hundred one".

Divisors: 1 13 19 247 17681 229853 335939 4367207 32995943 428947259 626922917 8149997921 583401268183 7584216486379 11084624095477 144100113241201