Search a number
-
+
144431910 = 2355721213
BaseRepresentation
bin10001001101111…
…01101100100110
3101001202220100000
420212331230212
5243433310120
622155402130
73402436200
oct1046755446
9331686300
10144431910
1174589917
1240453346
1323bcc68c
1415279770
15ca2e990
hex89bdb26

144431910 has 144 divisors (see below), whose sum is σ = 453385296. Its totient is φ = 32985792.

The previous prime is 144431909. The next prime is 144431921. The reversal of 144431910 is 19134441.

144431910 is a `hidden beast` number, since 144 + 431 + 91 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118464 + ... + 119676.

It is an arithmetic number, because the mean of its divisors is an integer number (3148509).

Almost surely, 2144431910 is an apocalyptic number.

144431910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144431910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226692648).

144431910 is an abundant number, since it is smaller than the sum of its proper divisors (308953386).

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

144431910 is a wasteful number, since it uses less digits than its factorization.

144431910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 144431910 is about 12017.9827758239. The cubic root of 144431910 is about 524.6717948644.

The spelling of 144431910 in words is "one hundred forty-four million, four hundred thirty-one thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 243 245 270 294 315 378 405 441 486 490 567 630 735 810 882 945 1134 1213 1215 1323 1470 1701 1890 2205 2426 2430 2646 2835 3402 3639 3969 4410 5670 6065 6615 7278 7938 8491 8505 10917 11907 12130 13230 16982 17010 18195 19845 21834 23814 25473 32751 36390 39690 42455 50946 54585 59437 59535 65502 76419 84910 98253 109170 118874 119070 127365 152838 163755 178311 196506 229257 254730 294759 297185 327510 356622 382095 458514 491265 534933 589518 594370 687771 764190 891555 982530 1069866 1146285 1375542 1473795 1604799 1783110 2063313 2292570 2674665 2947590 3209598 3438855 4126626 4814397 5349330 6877710 8023995 9628794 10316565 14443191 16047990 20633130 24071985 28886382 48143970 72215955 144431910