Search a number
-
+
144041243212332 = 22335115126074079
BaseRepresentation
bin100000110000000100110111…
…001000100111101000101100
3200220000012121220022111202000
4200300010313020213220230
5122334432431230243312
61230203344510132300
742224431166565564
oct4060046710475054
9626005556274660
10144041243212332
1141994603711764
12141a41a8ab1090
13624b05300288b
14277d8c1d75da4
15119bc9b1a2adc
hex830137227a2c

144041243212332 has 48 divisors (see below), whose sum is σ = 373447575244800. Its totient is φ = 48012807229200.

The previous prime is 144041243212291. The next prime is 144041243212381. The reversal of 144041243212332 is 233212342140441.

144041243212332 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 412 + 4 + 3 + 2 + 1 + 233 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7512732 + ... + 18561347.

It is an arithmetic number, because the mean of its divisors is an integer number (7780157817600).

Almost surely, 2144041243212332 is an apocalyptic number.

144041243212332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144041243212332 is an abundant number, since it is smaller than the sum of its proper divisors (229406332032468).

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

144041243212332 is a wasteful number, since it uses less digits than its factorization.

144041243212332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26125243 (or 26125235 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144041243212332 its reverse (233212342140441), we get a palindrome (377253585352773).

The spelling of 144041243212332 in words is "one hundred forty-four trillion, forty-one billion, two hundred forty-three million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 51151 102302 153453 204604 306906 460359 613812 920718 1381077 1841436 2762154 5524308 26074079 52148158 78222237 104296316 156444474 234666711 312888948 469333422 704000133 938666844 1408000266 2816000532 1333715214929 2667430429858 4001145644787 5334860859716 8002291289574 12003436934361 16004582579148 24006873868722 36010310803083 48013747737444 72020621606166 144041243212332