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144312201 = 321117194513
BaseRepresentation
bin10001001101000…
…00011110001001
3101001112211010100
420212200132021
5243420442301
622153040013
73401430165
oct1046403611
9331484110
10144312201
1174507990
12403b6009
1323b8a047
1415247ca5
15ca09286
hex89a0789

144312201 has 48 divisors (see below), whose sum is σ = 253506240. Its totient is φ = 77967360.

The previous prime is 144312197. The next prime is 144312211. The reversal of 144312201 is 102213441.

144312201 is a `hidden beast` number, since 1 + 443 + 1 + 220 + 1 = 666.

It is not a de Polignac number, because 144312201 - 22 = 144312197 is a prime.

It is a super-2 number, since 2×1443122012 = 41652022714928802, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144312211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29721 + ... + 34233.

It is an arithmetic number, because the mean of its divisors is an integer number (5281380).

Almost surely, 2144312201 is an apocalyptic number.

144312201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144312201 is a deficient number, since it is larger than the sum of its proper divisors (109194039).

144312201 is a wasteful number, since it uses less digits than its factorization.

144312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144312201 is about 12013.0013318904. The cubic root of 144312201 is about 524.5268008296.

Adding to 144312201 its reverse (102213441), we get a palindrome (246525642).

The spelling of 144312201 in words is "one hundred forty-four million, three hundred twelve thousand, two hundred one".

Divisors: 1 3 9 11 17 19 33 51 57 99 153 171 187 209 323 561 627 969 1683 1881 2907 3553 4513 10659 13539 31977 40617 49643 76721 85747 148929 230163 257241 446787 690489 771723 843931 943217 1457699 2531793 2829651 4373097 7595379 8488953 13119291 16034689 48104067 144312201