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144532424340 = 22325802957913
BaseRepresentation
bin1000011010011011001…
…1011100011010010100
3111211001201020220002100
42012212303130122110
54332000300034330
6150221451242100
713304435223303
oct2064663343224
9454051226070
10144532424340
1156328870687
1224017749330
13108248ac0a5
146dd157843a
153b5dab7060
hex21a6cdc694

144532424340 has 36 divisors (see below), whose sum is σ = 438415021044. Its totient is φ = 38541979776.

The previous prime is 144532424291. The next prime is 144532424437. The reversal of 144532424340 is 43424235441.

144532424340 is a `hidden beast` number, since 1 + 4 + 4 + 532 + 42 + 43 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100263422736 + 44269001604 = 316644^2 + 210402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 144532424295 and 144532424304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401478777 + ... + 401479136.

It is an arithmetic number, because the mean of its divisors is an integer number (12178195029).

Almost surely, 2144532424340 is an apocalyptic number.

144532424340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144532424340 is an abundant number, since it is smaller than the sum of its proper divisors (293882596704).

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

144532424340 is a wasteful number, since it uses less digits than its factorization.

144532424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802957928 (or 802957923 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 144532424340 its reverse (43424235441), we get a palindrome (187956659781).

The spelling of 144532424340 in words is "one hundred forty-four billion, five hundred thirty-two million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 802957913 1605915826 2408873739 3211831652 4014789565 4817747478 7226621217 8029579130 9635494956 12044368695 14453242434 16059158260 24088737390 28906484868 36133106085 48177474780 72266212170 144532424340