Search a number
-
+
144603625413 = 313194173113577
BaseRepresentation
bin1000011010101100001…
…1000011011111000101
3111211020200020021121010
42012223003003133011
54332122012003123
6150232513312433
713306261351512
oct2065303033705
9454220207533
10144603625413
1156364a82045
1224037565719
131083657b4c0
146ddabd0309
153b64e7d993
hex21ab0c37c5

144603625413 has 128 divisors (see below), whose sum is σ = 229367416320. Its totient is φ = 80263249920.

The previous prime is 144603625399. The next prime is 144603625447. The reversal of 144603625413 is 314526306441.

It is not a de Polignac number, because 144603625413 - 212 = 144603621317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144603625613) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250612581 + ... + 250613157.

It is an arithmetic number, because the mean of its divisors is an integer number (1791932940).

Almost surely, 2144603625413 is an apocalyptic number.

144603625413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144603625413 is a deficient number, since it is larger than the sum of its proper divisors (84763790907).

144603625413 is a wasteful number, since it uses less digits than its factorization.

144603625413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839.

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 144603625413 in words is "one hundred forty-four billion, six hundred three million, six hundred twenty-five thousand, four hundred thirteen".

Divisors: 1 3 13 19 39 41 57 73 113 123 219 247 339 533 577 741 779 949 1387 1469 1599 1731 2147 2337 2847 2993 4161 4407 4633 6441 7501 8249 8979 10127 10963 13899 18031 22503 23657 24747 27911 30381 32889 38909 42121 54093 56867 60229 65201 70971 83733 88027 107237 116727 126363 142519 156731 170601 180687 195603 264081 307541 321711 338209 427557 449483 470193 547573 739271 800299 847613 922623 1014627 1144351 1238819 1348449 1642719 1726961 2037503 2217813 2400897 2542839 2673241 3433053 3716457 4396717 4759673 5180883 5843279 6112509 6425971 8019723 10403887 13190151 14279019 16104647 17529837 19277913 22450493 31211661 32812259 34752133 48313941 50791579 61875749 67351479 83537623 90433787 98436777 104256399 152374737 185627247 195146593 250612869 271301361 426559367 585439779 660290527 1175639231 1279678101 1980871581 2536905709 3526917693 3707785267 7610717127 11123355801 48201208471 144603625413