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241221505005276 = 22317672603743633
BaseRepresentation
bin110110110110001111000010…
…000111100011011011011100
31011122002112212102201122020020
4312312033002013203123130
5223104133120240132101
62213011343553152140
7101544451523533635
oct6666170207433334
91148075772648206
10241221505005276
116a951513a42244
122307a415b5b650
13a47a123571523
14437d27c75688c
151cd4ad18ea136
hexdb63c21e36dc

241221505005276 has 144 divisors (see below), whose sum is σ = 605100763634976. Its totient is φ = 74533765718016.

The previous prime is 241221505005227. The next prime is 241221505005277. The reversal of 241221505005276 is 672500505122142.

It is a super-3 number, since 3×2412215050052763 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241221505005277) 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, 5528397156 + ... + 5528440788.

It is an arithmetic number, because the mean of its divisors is an integer number (4202088636354).

Almost surely, 2241221505005276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241221505005276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302550381817488).

241221505005276 is an abundant number, since it is smaller than the sum of its proper divisors (363879258629700).

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

241221505005276 is a wasteful number, since it uses less digits than its factorization.

241221505005276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49828 (or 49759 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 241221505005276 in words is "two hundred forty-one trillion, two hundred twenty-one billion, five hundred five million, five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 804 1139 2278 3417 4489 4556 6037 6834 8978 12074 13467 13668 17956 18111 24148 26934 36222 43633 53868 72444 76313 87266 102629 130899 152626 174532 205258 228939 261798 305252 307887 404479 410516 457878 523596 615774 741761 808958 915756 1213437 1231548 1483522 1617916 2225283 2426874 2923411 2967044 4450566 4853748 5846822 6876143 8770233 8901132 11693644 13752286 17540466 20628429 27100093 27504572 35080932 41256858 49697987 54200186 81300279 82513716 99395974 108400372 149093961 162600558 195868537 198791948 263412421 298187922 325201116 391737074 460701581 526824842 587605611 596375844 783474148 790237263 921403162 1053649684 1175211222 1382104743 1580474526 1842806324 2350422444 2764209486 3160949052 3329765129 4478011157 5528418972 6659530258 8956022314 9989295387 13319060516 13434033471 17648632207 17912044628 19978590774 26868066942 35297264414 39957181548 52945896621 53736133884 70594528828 105891793242 211783586484 300026747519 600053495038 900080242557 1182458357869 1200106990076 1800160485114 2364916715738 3547375073607 3600320970228 4729833431476 7094750147214 14189500294428 20101792083773 40203584167546 60305376251319 80407168335092 120610752502638 241221505005276