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144153303351441 = 3792437249586289
BaseRepresentation
bin100000110001101101001110…
…011100001000000010010001
3200220101220212120020101200120
4200301231032130020002101
5122343301431124221231
61230331040251540453
742235506145214526
oct4061551634100221
9626356776211616
10144153303351441
1141a2808874487a
1214201a6175a729
1362587a12721b7
1427850b29cb14d
15119eb5908bd96
hex831b4e708091

144153303351441 has 16 divisors (see below), whose sum is σ = 194717240006400. Its totient is φ = 94846782820608.

The previous prime is 144153303351437. The next prime is 144153303351487.

144153303351441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144153303351441 - 22 = 144153303351437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144153303351393 and 144153303351402.

It is not an unprimeable number, because it can be changed into a prime (144153303351401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124215576 + ... + 125370713.

It is an arithmetic number, because the mean of its divisors is an integer number (12169827500400).

Almost surely, 2144153303351441 is an apocalyptic number.

It is an amenable number.

144153303351441 is a deficient number, since it is larger than the sum of its proper divisors (50563936654959).

144153303351441 is a wasteful number, since it uses less digits than its factorization.

144153303351441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249588808.

The product of its (nonzero) digits is 518400, while the sum is 42.

It can be divided in two parts, 14415330 and 3351441, that added together give a palindrome (17766771).

The spelling of 144153303351441 in words is "one hundred forty-four trillion, one hundred fifty-three billion, three hundred three million, three hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 3 79 237 2437 7311 192523 577569 249586289 748758867 19717316831 59151950493 608241786293 1824725358879 48051101117147 144153303351441