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144312123012021 = 32136111781543229
BaseRepresentation
bin100000110100000001001000…
…110101000011001110110101
3200220222002210222110002101200
4200310001020311003032311
5122403402211442341041
61230532024000243113
742253130640106116
oct4064011065031665
9626862728402350
10144312123012021
1141a8947825a508
12142287a6010499
13626a761b0c413
14278ca5b84c20d
1511a3d520c41b6
hex834048d433b5

144312123012021 has 12 divisors (see below), whose sum is σ = 208604004430380. Its totient is φ = 96137392740480.

The previous prime is 144312123011971. The next prime is 144312123012023. The reversal of 144312123012021 is 120210321213441.

144312123012021 is a `hidden beast` number, since 1 + 4 + 4 + 312 + 1 + 2 + 301 + 20 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91082476913796 + 53229646098225 = 9543714^2 + 7295865^2 .

It is not a de Polignac number, because 144312123012021 - 29 = 144312123011509 is a prime.

It is a super-2 number, since 2×1443121230120212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144312123012023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5890759366 + ... + 5890783863.

It is an arithmetic number, because the mean of its divisors is an integer number (17383667035865).

Almost surely, 2144312123012021 is an apocalyptic number.

It is an amenable number.

144312123012021 is a deficient number, since it is larger than the sum of its proper divisors (64291881418359).

144312123012021 is a wasteful number, since it uses less digits than its factorization.

144312123012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11781544596 (or 11781544593 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 144312123012021 its reverse (120210321213441), we get a palindrome (264522444225462).

The spelling of 144312123012021 in words is "one hundred forty-four trillion, three hundred twelve billion, one hundred twenty-three million, twelve thousand, twenty-one".

Divisors: 1 3 9 1361 4083 12249 11781543229 35344629687 106033889061 16034680334669 48104041004007 144312123012021