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144909464 = 23723797103
BaseRepresentation
bin10001010001100…
…10010010011000
3101002200011102012
420220302102120
5244044100324
622213525052
73406465400
oct1050622230
9332604365
10144909464
1174885697
1240643788
1324038b5b
1415361800
15cac620e
hex8a32498

144909464 has 96 divisors (see below), whose sum is σ = 331138080. Its totient is φ = 59222016.

The previous prime is 144909461. The next prime is 144909467. The reversal of 144909464 is 464909441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144909461) and next prime (144909467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144909461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1406837 + ... + 1406939.

It is an arithmetic number, because the mean of its divisors is an integer number (3449355).

Almost surely, 2144909464 is an apocalyptic number.

144909464 is a gapful number since it is divisible by the number (14) 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 144909464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165569040).

144909464 is an abundant number, since it is smaller than the sum of its proper divisors (186228616).

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

144909464 is a wasteful number, since it uses less digits than its factorization.

144909464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 144909464 is about 12037.8346890128. The cubic root of 144909464 is about 525.2494222240.

The spelling of 144909464 in words is "one hundred forty-four million, nine hundred nine thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 97 98 103 148 194 196 206 259 296 388 392 412 518 679 721 776 824 1036 1358 1442 1813 2072 2716 2884 3589 3626 3811 4753 5047 5432 5768 7178 7252 7622 9506 9991 10094 14356 14504 15244 19012 19982 20188 25123 26677 28712 30488 38024 39964 40376 50246 53354 69937 79928 100492 106708 139874 175861 186739 200984 213416 279748 351722 369667 373478 489559 559496 703444 739334 746956 979118 1406888 1478668 1493912 1958236 2587669 2957336 3916472 5175338 10350676 18113683 20701352 36227366 72454732 144909464