Search a number
-
+
144343626540 = 223515187158407
BaseRepresentation
bin1000011001101110001…
…1001111001100101100
3111210120112222222012020
42012123203033030230
54331103432022130
6150151024510140
713266653403351
oct2063343171454
9453515888166
10144343626540
115624123a043
1223b8447b350
13107c4747909
146db4470628
153b4c221e10
hex219b8cf32c

144343626540 has 48 divisors (see below), whose sum is σ = 404191318272. Its totient is φ = 38488856256.

The previous prime is 144343626533. The next prime is 144343626547. The reversal of 144343626540 is 45626343441.

144343626540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144343626533) and next prime (144343626547).

It is a junction number, because it is equal to n+sod(n) for n = 144343626492 and 144343626501.

It is not an unprimeable number, because it can be changed into a prime (144343626547) 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 15 ways as a sum of consecutive naturals, for example, 832017 + ... + 990423.

It is an arithmetic number, because the mean of its divisors is an integer number (8420652464).

Almost surely, 2144343626540 is an apocalyptic number.

144343626540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144343626540 is an abundant number, since it is smaller than the sum of its proper divisors (259847691732).

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

144343626540 is a wasteful number, since it uses less digits than its factorization.

144343626540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173606 (or 173604 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 144343626540 its reverse (45626343441), we get a palindrome (189969969981).

The spelling of 144343626540 in words is "one hundred forty-four billion, three hundred forty-three million, six hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 15187 30374 45561 60748 75935 91122 151870 158407 182244 227805 303740 316814 455610 475221 633628 792035 911220 950442 1584070 1900884 2376105 3168140 4752210 9504420 2405727109 4811454218 7217181327 9622908436 12028635545 14434362654 24057271090 28868725308 36085906635 48114542180 72171813270 144343626540