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330144144030 = 23454710781047
BaseRepresentation
bin1001100110111100001…
…11111101101010011110
31011120011022110012120000
410303132013331222132
520402113400102110
6411355514435130
732565164631231
oct4633607755236
91146138405500
10330144144030
11118016842928
1253b98732aa6
132519502231c
1411d9c78d418
1588c3cac1c0
hex4cde1fda9e

330144144030 has 160 divisors (see below), whose sum is σ = 915092868096. Its totient is φ = 85358943936.

The previous prime is 330144144023. The next prime is 330144144079. The reversal of 330144144030 is 30441441033.

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

It is a junction number, because it is equal to n+sod(n) for n = 330144143985 and 330144144003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4032967 + ... + 4114013.

Almost surely, 2330144144030 is an apocalyptic number.

330144144030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330144144030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457546434048).

330144144030 is an abundant number, since it is smaller than the sum of its proper divisors (584948724066).

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

330144144030 is a wasteful number, since it uses less digits than its factorization.

330144144030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81220 (or 81211 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 330144144030 its reverse (30441441033), we get a palindrome (360585585063).

The spelling of 330144144030 in words is "three hundred thirty billion, one hundred forty-four million, one hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 107 135 141 162 214 235 270 282 321 405 423 470 535 642 705 810 846 963 1070 1269 1410 1605 1926 2115 2538 2889 3210 3807 4230 4815 5029 5778 6345 7614 8667 9630 10058 12690 14445 15087 17334 19035 25145 28890 30174 38070 43335 45261 50290 75435 81047 86670 90522 135783 150870 162094 226305 243141 271566 405235 407349 452610 486282 678915 729423 810470 814698 1215705 1357830 1458846 2036745 2188269 2431410 3647115 3809209 4073490 4376538 6564807 7294230 7618418 8672029 10941345 11427627 13129614 17344058 19046045 21882690 22855254 26016087 32824035 34282881 38092090 43360145 52032174 57138135 65648070 68565762 78048261 86720290 102848643 114276270 130080435 156096522 171414405 205697286 234144783 260160870 308545929 342828810 390241305 407585363 468289566 514243215 617091858 702434349 780482610 815170726 1028486430 1170723915 1222756089 1404868698 1542729645 2037926815 2341447830 2445512178 3085459290 3512171745 3668268267 4075853630 6113780445 7024343490 7336536534 11004804801 12227560890 18341341335 22009609602 33014414403 36682682670 55024024005 66028828806 110048048010 165072072015 330144144030