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144002230113213 = 33113419112645277
BaseRepresentation
bin100000101111100000100001…
…110001011101001110111101
3200212212110221000021201202000
4200233200201301131032331
5122333313031402110323
61230133413344052513
742221550334661043
oct4057404161351675
9625773830251660
10144002230113213
114197a00384a98a
121419871b604139
136247476552144
14277ba608a6393
15119ac66160e43
hex82f821c5d3bd

144002230113213 has 32 divisors (see below), whose sum is σ = 215738236425600. Its totient is φ = 94924822341888.

The previous prime is 144002230113211. The next prime is 144002230113223. The reversal of 144002230113213 is 312311032200441.

144002230113213 is a `hidden beast` number, since 1 + 4 + 400 + 2 + 2 + 30 + 1 + 13 + 213 = 666.

144002230113213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144002230113213 - 21 = 144002230113211 is a prime.

It is a super-3 number, since 3×1440022301132133 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144002230113211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55044270 + ... + 57601007.

It is an arithmetic number, because the mean of its divisors is an integer number (6741819888300).

Almost surely, 2144002230113213 is an apocalyptic number.

It is an amenable number.

144002230113213 is a deficient number, since it is larger than the sum of its proper divisors (71736006312387).

144002230113213 is a wasteful number, since it uses less digits than its factorization.

144002230113213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112645818 (or 112645812 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 144002230113213 its reverse (312311032200441), we get a palindrome (456313262313654).

The spelling of 144002230113213 in words is "one hundred forty-four trillion, two billion, two hundred thirty million, one hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 27 113 339 419 1017 1257 3051 3771 11313 47347 142041 426123 1278369 112645277 337935831 1013807493 3041422479 12728916301 38186748903 47198371063 114560246709 141595113189 343680740127 424785339567 1274356018701 5333415930119 16000247790357 48000743371071 144002230113213