Search a number
-
+
144212141114010 = 23351171456122153
BaseRepresentation
bin100000110010100100000001…
…011100011000001010011010
3200220121112202001212102102000
4200302210001130120022122
5122400232431111122020
61230414050521221430
742242661203023104
oct4062440134301232
9626545661772360
10144212141114010
1141a50031068732
1214211342331876
1362611b9c9a218
142787c94d80574
1511a144e763090
hex83290171829a

144212141114010 has 64 divisors (see below), whose sum is σ = 384894118431360. Its totient is φ = 38423730084480.

The previous prime is 144212141113973. The next prime is 144212141114021. The reversal of 144212141114010 is 10411141212441.

It is a happy number.

144212141114010 is a `hidden beast` number, since 1 + 4 + 4 + 212 + 1 + 41 + 1 + 1 + 401 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227744907 + ... + 228377246.

It is an arithmetic number, because the mean of its divisors is an integer number (6013970600490).

Almost surely, 2144212141114010 is an apocalyptic number.

144212141114010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144212141114010 is an abundant number, since it is smaller than the sum of its proper divisors (240681977317350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144212141114010 is a wasteful number, since it uses less digits than its factorization.

144212141114010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456123340 (or 456123334 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 144212141114010 its reverse (10411141212441), we get a palindrome (154623282326451).

The spelling of 144212141114010 in words is "one hundred forty-four trillion, two hundred twelve billion, one hundred forty-one million, one hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1171 2342 3513 5855 7026 10539 11710 17565 21078 31617 35130 52695 63234 105390 158085 316170 456122153 912244306 1368366459 2280610765 2736732918 4105099377 4561221530 6841832295 8210198754 12315298131 13683664590 20525496885 24630596262 41050993770 61576490655 123152981310 534119041163 1068238082326 1602357123489 2670595205815 3204714246978 4807071370467 5341190411630 8011785617445 9614142740934 14421214111401 16023571234890 24035356852335 28842428222802 48070713704670 72106070557005 144212141114010