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330120121848156 = 22324710910611687057
BaseRepresentation
bin100101100001111100001010…
…0100110001001000101011100
31121021212011201220002111002100
41023003320110212021011130
5321232142002143120111
63130035031303325100
7126351251236061163
oct11303702446110534
91537764656074070
10330120121848156
1196206180629a52
12310375a8a50790
131122826a051613
145b73c833a63da
1528272ae15b756
hex12c3e1498915c

330120121848156 has 144 divisors (see below), whose sum is σ = 860854680766080. Its totient is φ = 106610062325760.

The previous prime is 330120121848137. The next prime is 330120121848157. The reversal of 330120121848156 is 651848121021033.

330120121848156 is a `hidden beast` number, since 3 + 30 + 12 + 0 + 121 + 8 + 481 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330120121848157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194834580 + ... + 196521636.

It is an arithmetic number, because the mean of its divisors is an integer number (5978157505320).

Almost surely, 2330120121848156 is an apocalyptic number.

330120121848156 is a gapful number since it is divisible by the number (36) 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 330120121848156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430427340383040).

330120121848156 is an abundant number, since it is smaller than the sum of its proper divisors (530734558917924).

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

330120121848156 is a wasteful number, since it uses less digits than its factorization.

330120121848156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688284 (or 1688279 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 330120121848156 its reverse (651848121021033), we get a palindrome (981968242869189).

The spelling of 330120121848156 in words is "three hundred thirty trillion, one hundred twenty billion, one hundred twenty-one million, eight hundred forty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 109 141 188 218 282 327 423 436 564 654 846 981 1061 1308 1692 1962 2122 3183 3924 4244 5123 6366 9549 10246 12732 15369 19098 20492 30738 38196 46107 49867 61476 92214 99734 115649 149601 184428 199468 231298 299202 346947 448803 462596 598404 693894 897606 1040841 1387788 1687057 1795212 2081682 3374114 4163364 5061171 5435503 6748228 10122342 10871006 15183513 16306509 20244684 21742012 30367026 32613018 48919527 60734052 65226036 79291679 97839054 158583358 183889213 195678108 237875037 317166716 367778426 475750074 551667639 713625111 735556852 951500148 1103335278 1427250222 1655002917 1789967477 2206670556 2854500444 3310005834 3579934954 5369902431 6620011668 7159869908 8642793011 10739804862 16109707293 17285586022 21479609724 25928379033 32219414586 34571172044 51856758066 64438829172 77785137099 84128471419 103713516132 155570274198 168256942838 195106454993 252385414257 311140548396 336513885676 390212909986 504770828514 585319364979 757156242771 780425819972 1009541657028 1170638729958 1514312485542 1755958094937 2341277459916 3028624971084 3511916189874 7023832379748 9170003384671 18340006769342 27510010154013 36680013538684 55020020308026 82530030462039 110040040616052 165060060924078 330120121848156