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144410324520 = 2335721143137379
BaseRepresentation
bin1000011001111110000…
…1101010111000101000
3111210202012111120121210
42012133201222320220
54331223020341040
6150201410233120
713301423335200
oct2063741527050
9453665446553
10144410324520
1156275955240
1223ba28857a0
13108054cb487
146dbd273400
153b52ee9480
hex219f86ae28

144410324520 has 768 divisors, whose sum is σ = 568164326400. Its totient is φ = 29018787840.

The previous prime is 144410324519. The next prime is 144410324537. The reversal of 144410324520 is 25423014441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381029691 + ... + 381030069.

It is an arithmetic number, because the mean of its divisors is an integer number (739797300).

Almost surely, 2144410324520 is an apocalyptic number.

144410324520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144410324520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284082163200).

144410324520 is an abundant number, since it is smaller than the sum of its proper divisors (423754001880).

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

144410324520 is a wasteful number, since it uses less digits than its factorization.

144410324520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 144410324520 its reverse (25423014441), we get a palindrome (169833338961).

The spelling of 144410324520 in words is "one hundred forty-four billion, four hundred ten million, three hundred twenty-four thousand, five hundred twenty".