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144710412 = 223711199787
BaseRepresentation
bin10001010000000…
…01101100001100
3101002022001100220
420220001230030
5244021213122
622205351340
73405006150
oct1050015414
9332261326
10144710412
117475a090
1240568550
1323c99382
141530d060
15ca8725c
hex8a01b0c

144710412 has 96 divisors (see below), whose sum is σ = 423628800. Its totient is φ = 37350720.

The previous prime is 144710393. The next prime is 144710431. The reversal of 144710412 is 214017441.

It is an interprime number because it is at equal distance from previous prime (144710393) and next prime (144710431).

It is a super-2 number, since 2×1447104122 = 41882206682419488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183483 + ... + 184269.

It is an arithmetic number, because the mean of its divisors is an integer number (4412800).

Almost surely, 2144710412 is an apocalyptic number.

144710412 is a gapful number since it is divisible by the number (12) 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 144710412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211814400).

144710412 is an abundant number, since it is smaller than the sum of its proper divisors (278918388).

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

144710412 is a wasteful number, since it uses less digits than its factorization.

144710412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 144710412 is about 12029.5640818776. The cubic root of 144710412 is about 525.0088125505.

Adding to 144710412 its reverse (214017441), we get a palindrome (358727853).

The spelling of 144710412 in words is "one hundred forty-four million, seven hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 199 231 308 398 462 597 787 796 924 1194 1393 1574 2189 2361 2388 2786 3148 4179 4378 4722 5509 5572 6567 8358 8657 8756 9444 11018 13134 15323 16527 16716 17314 22036 25971 26268 30646 33054 34628 45969 51942 60599 61292 66108 91938 103884 121198 156613 181797 183876 242396 313226 363594 469839 626452 727188 939678 1096291 1722743 1879356 2192582 3288873 3445486 4385164 5168229 6577746 6890972 10336458 12059201 13155492 20672916 24118402 36177603 48236804 72355206 144710412