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144167424 = 293471997
BaseRepresentation
bin10001001011111…
…01001000000000
3101001021110112020
420211331020000
5243401324144
622150001440
73400255122
oct1045751000
9331243466
10144167424
1174419135
1240346280
1323b3918b
141520b212
15c9cb419
hex897d200

144167424 has 80 divisors (see below), whose sum is σ = 392439168. Its totient is φ = 47009792.

The previous prime is 144167423. The next prime is 144167467. The reversal of 144167424 is 424761441.

It is a super-2 number, since 2×1441674242 = 41568492285591552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144167423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71194 + ... + 73190.

Almost surely, 2144167424 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 144167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196219584).

144167424 is an abundant number, since it is smaller than the sum of its proper divisors (248271744).

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

144167424 is an equidigital number, since it uses as much as digits as its factorization.

144167424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2049 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 144167424 is about 12006.9739734872. The cubic root of 144167424 is about 524.3513367433.

The spelling of 144167424 in words is "one hundred forty-four million, one hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1128 1504 1536 1997 2256 3008 3994 4512 5991 6016 7988 9024 11982 12032 15976 18048 23964 24064 31952 36096 47928 63904 72192 93859 95856 127808 187718 191712 255616 281577 375436 383424 511232 563154 750872 766848 1022464 1126308 1501744 1533696 2252616 3003488 3067392 4505232 6006976 9010464 12013952 18020928 24027904 36041856 48055808 72083712 144167424