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144415012 = 22729293607
BaseRepresentation
bin10001001101110…
…01100100100100
3101001202001011011
420212321210210
5243432240022
622155152004
73402336010
oct1046714444
9331661134
10144415012
1174578155
1240445604
1323bc4a91
1415273540
15ca29977
hex89b9924

144415012 has 48 divisors (see below), whose sum is σ = 300303360. Its totient is φ = 59455872.

The previous prime is 144415009. The next prime is 144415039. The reversal of 144415012 is 210514441.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237613 + ... + 238219.

It is an arithmetic number, because the mean of its divisors is an integer number (6256320).

Almost surely, 2144415012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144415012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150151680).

144415012 is an abundant number, since it is smaller than the sum of its proper divisors (155888348).

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

144415012 is a wasteful number, since it uses less digits than its factorization.

144415012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 144415012 is about 12017.2797254620. The cubic root of 144415012 is about 524.6513325124.

Adding to 144415012 its reverse (210514441), we get a palindrome (354929453).

The spelling of 144415012 in words is "one hundred forty-four million, four hundred fifteen thousand, twelve".

Divisors: 1 2 4 7 14 28 29 58 116 203 293 406 586 607 812 1172 1214 2051 2428 4102 4249 8204 8497 8498 16994 16996 17603 33988 35206 59479 70412 118958 123221 177851 237916 246442 355702 492884 711404 1244957 2489914 4979828 5157679 10315358 20630716 36103753 72207506 144415012