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144051468 = 22311329311
BaseRepresentation
bin10001001011000…
…00110100001100
3101001001120110120
420211200310030
5243334121333
622143304540
73366263061
oct1045406414
9331046416
10144051468
117434a000
12402ab150
1323ac8472
14151bac68
15c9a6db3
hex8960d0c

144051468 has 96 divisors (see below), whose sum is σ = 383685120. Its totient is φ = 42011200.

The previous prime is 144051463. The next prime is 144051473. The reversal of 144051468 is 864150441.

It is an interprime number because it is at equal distance from previous prime (144051463) and next prime (144051473).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (144051463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463033 + ... + 463343.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2144051468 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 144051468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191842560).

144051468 is an abundant number, since it is smaller than the sum of its proper divisors (239633652).

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

144051468 is a wasteful number, since it uses less digits than its factorization.

144051468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 144051468 is about 12002.1443084142. The cubic root of 144051468 is about 524.2107178470.

The spelling of 144051468 in words is "one hundred forty-four million, fifty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 311 319 348 363 484 622 638 726 933 957 1244 1276 1331 1452 1866 1914 2662 3421 3509 3732 3828 3993 5324 6842 7018 7986 9019 10263 10527 13684 14036 15972 18038 20526 21054 27057 36076 37631 38599 41052 42108 54114 75262 77198 99209 108228 112893 115797 150524 154396 198418 225786 231594 297627 396836 413941 451572 463188 595254 827882 1091299 1190508 1241823 1655764 2182598 2483646 3273897 4365196 4967292 6547794 12004289 13095588 24008578 36012867 48017156 72025734 144051468