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144220419 = 3472311059
BaseRepresentation
bin10001001100010…
…10000100000011
3101001101011020000
420212022010003
5243410023134
622151051043
73400565460
oct1046120403
9331334200
10144220419
1174454a32
1240370a83
1323b57335
1415222667
15c9dbe99
hex898a103

144220419 has 40 divisors (see below), whose sum is σ = 256945920. Its totient is φ = 78821424.

The previous prime is 144220403. The next prime is 144220429. The reversal of 144220419 is 914022441.

It is a happy number.

144220419 is a `hidden beast` number, since 1 + 442 + 204 + 19 = 666.

It is not a de Polignac number, because 144220419 - 24 = 144220403 is a prime.

It is a super-2 number, since 2×1442204192 = 41599058513071122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144220392 and 144220401.

It is not an unprimeable number, because it can be changed into a prime (144220429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7512 + ... + 18570.

It is an arithmetic number, because the mean of its divisors is an integer number (6423648).

Almost surely, 2144220419 is an apocalyptic number.

144220419 is a deficient number, since it is larger than the sum of its proper divisors (112725501).

144220419 is a wasteful number, since it uses less digits than its factorization.

144220419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144220419 is about 12009.1806131809. The cubic root of 144220419 is about 524.4155782437.

The spelling of 144220419 in words is "one hundred forty-four million, two hundred twenty thousand, four hundred nineteen".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 483 567 621 1449 1863 4347 11059 13041 33177 77413 99531 232239 254357 298593 696717 763071 895779 1780499 2090151 2289213 5341497 6270453 6867639 16024491 20602917 48073473 144220419