Search a number
-
+
241211020044132 = 223319613319166677
BaseRepresentation
bin110110110110000101010001…
…001010100110011101100100
31011122001112210201102102111000
4312312011101022212131210
5223104000132112403012
62213002451324113300
7101543630640042045
oct6666052112463544
91148045721372430
10241211020044132
116a9480235027a6
122307838a695830
13a4791422661c8
14437c9660348cc
151cd46bb194ddc
hexdb61512a6764

241211020044132 has 96 divisors (see below), whose sum is σ = 658383055971200. Its totient is φ = 76159477086336.

The previous prime is 241211020044121. The next prime is 241211020044133. The reversal of 241211020044132 is 231440020112142.

241211020044132 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 1 + 10 + 200 + 441 + 3 + 2 = 666.

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 = 241211020044096 and 241211020044105.

It is not an unprimeable number, because it can be changed into a prime (241211020044133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3001578 + ... + 22168254.

Almost surely, 2241211020044132 is an apocalyptic number.

It is an amenable number.

241211020044132 is an abundant number, since it is smaller than the sum of its proper divisors (417172035927068).

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

241211020044132 is a wasteful number, since it uses less digits than its factorization.

241211020044132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19172842 (or 19172834 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 241211020044132 its reverse (231440020112142), we get a palindrome (472651040156274).

The spelling of 241211020044132 in words is "two hundred forty-one trillion, two hundred eleven billion, twenty million, forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 6133 12266 18399 24532 36798 55197 73596 110394 116527 165591 220788 233054 331182 349581 466108 662364 699162 1048743 1398324 2097486 3146229 4194972 6292458 12584916 19166677 38333354 57500031 76666708 115000062 172500093 230000124 345000186 364166863 517500279 690000372 728333726 1035000558 1092500589 1456667452 2070001116 2185001178 3277501767 4370002356 6555003534 9832505301 13110007068 19665010602 39330021204 117549230041 235098460082 352647690123 470196920164 705295380246 1057943070369 1410590760492 2115886140738 2233435370779 3173829211107 4231772281476 4466870741558 6347658422214 6700306112337 8933741483116 12695316844428 13400612224674 20100918337011 26801224449348 40201836674022 60302755011033 80403673348044 120605510022066 241211020044132