Search a number
-
+
144001245535317 = 342961303212233
BaseRepresentation
bin100000101111011111100111…
…000101100101110001010101
3200212212101101101121222210000
4200233133213011211301111
5122333304022324112232
61230133131533121513
742221514051131412
oct4057374705456125
9625771341558700
10144001245535317
1141979648aaaa45
12141984a5929299
13624734a584781
14277b9a9c11109
15119ac099c927c
hex82f7e7165c55

144001245535317 has 20 divisors (see below), whose sum is σ = 222530660409420. Its totient is φ = 92690456894784.

The previous prime is 144001245535291. The next prime is 144001245535319. The reversal of 144001245535317 is 713535542100441.

144001245535317 is a `hidden beast` number, since 1 + 4 + 40 + 0 + 1 + 2 + 4 + 553 + 53 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84104929923876 + 59896315611441 = 9170874^2 + 7739271^2 .

It is not a de Polignac number, because 144001245535317 - 26 = 144001245535253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144001245535319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30651603768 + ... + 30651608465.

It is an arithmetic number, because the mean of its divisors is an integer number (11126533020471).

Almost surely, 2144001245535317 is an apocalyptic number.

It is an amenable number.

144001245535317 is a deficient number, since it is larger than the sum of its proper divisors (78529414874103).

144001245535317 is an equidigital number, since it uses as much as digits as its factorization.

144001245535317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61303212274 (or 61303212265 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

Adding to 144001245535317 its reverse (713535542100441), we get a palindrome (857536787635758).

The spelling of 144001245535317 in words is "one hundred forty-four trillion, one billion, two hundred forty-five million, five hundred thirty-five thousand, three hundred seventeen".

Divisors: 1 3 9 27 29 81 87 261 783 2349 61303212233 183909636699 551728910097 1655186730291 1777793154757 4965560190873 5333379464271 16000138392813 48000415178439 144001245535317