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144322620 = 223513243331
BaseRepresentation
bin10001001101000…
…11000000111100
3101001120100102020
420212203000330
5243421310440
622153200140
73401502441
oct1046430074
9331510366
10144322620
11745147a2
1240400050
1323b91a00
141524b9c8
15ca0c3d0
hex89a303c

144322620 has 144 divisors (see below), whose sum is σ = 449108352. Its totient is φ = 34594560.

The previous prime is 144322597. The next prime is 144322621. The reversal of 144322620 is 26223441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144322621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435855 + ... + 436185.

It is an arithmetic number, because the mean of its divisors is an integer number (3118808).

Almost surely, 2144322620 is an apocalyptic number.

144322620 is a gapful number since it is divisible by the number (10) 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 144322620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224554176).

144322620 is an abundant number, since it is smaller than the sum of its proper divisors (304785732).

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

144322620 is a wasteful number, since it uses less digits than its factorization.

144322620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 144322620 is about 12013.4349792222. The cubic root of 144322620 is about 524.5394237245.

The spelling of 144322620 in words is "one hundred forty-four million, three hundred twenty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 169 172 195 215 258 260 331 338 390 430 507 516 559 645 662 676 780 845 860 993 1014 1118 1290 1324 1655 1677 1690 1986 2028 2236 2535 2580 2795 3310 3354 3380 3972 4303 4965 5070 5590 6620 6708 7267 8385 8606 9930 10140 11180 12909 14233 14534 16770 17212 19860 21515 21801 25818 28466 29068 33540 36335 42699 43030 43602 51636 55939 56932 64545 71165 72670 85398 86060 87204 109005 111878 129090 142330 145340 167817 170796 185029 213495 218010 223756 258180 279695 284660 335634 370058 426990 436020 555087 559390 671268 740116 839085 853980 925145 1110174 1118780 1678170 1850290 2220348 2405377 2775435 3356340 3700580 4810754 5550870 7216131 9621508 11101740 12026885 14432262 24053770 28864524 36080655 48107540 72161310 144322620