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241425562477540 = 225722359181542089
BaseRepresentation
bin110110111001001101000100…
…111001000010001111100100
31011122211001120112212021022011
4312321031010321002033210
5223121004022443240130
62213245212225044004
7101565264333453100
oct6671150471021744
91148731515767264
10241425562477540
116aa20008081401
12230b1a84486604
13a49344338565c
1443890b966c900
151cda07619852a
hexdb9344e423e4

241425562477540 has 144 divisors (see below), whose sum is σ = 625840939382400. Its totient is φ = 77833628640768.

The previous prime is 241425562477483. The next prime is 241425562477543. The reversal of 241425562477540 is 45774265524142.

It is not an unprimeable number, because it can be changed into a prime (241425562477543) 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 47 ways as a sum of consecutive naturals, for example, 89441185 + ... + 92100904.

It is an arithmetic number, because the mean of its divisors is an integer number (4346117634600).

Almost surely, 2241425562477540 is an apocalyptic number.

241425562477540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241425562477540 is an abundant number, since it is smaller than the sum of its proper divisors (384415376904860).

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

241425562477540 is a wasteful number, since it uses less digits than its factorization.

241425562477540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181542194 (or 181542185 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 58.

The spelling of 241425562477540 in words is "two hundred forty-one trillion, four hundred twenty-five billion, five hundred sixty-two million, four hundred seventy-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 59 70 92 98 115 118 140 161 196 230 236 245 295 322 413 460 490 590 644 805 826 980 1127 1180 1357 1610 1652 2065 2254 2714 2891 3220 4130 4508 5428 5635 5782 6785 8260 9499 11270 11564 13570 14455 18998 22540 27140 28910 37996 47495 57820 66493 94990 132986 189980 265972 332465 664930 1329860 181542089 363084178 726168356 907710445 1270794623 1815420890 2541589246 3630841780 4175468047 5083178492 6353973115 8350936094 8895562361 10710983251 12707946230 16701872188 17791124722 20877340235 21421966502 25415892460 29228276329 35582249444 41754680470 42843933004 44477811805 53554916255 58456552658 74976882757 83509360940 88955623610 107109832510 116913105316 146141381645 149953765514 177911247220 204597934303 214219665020 246352614773 292282763290 299907531028 374884413785 409195868606 492705229546 524838179299 584565526580 749768827570 818391737212 985410459092 1022989671515 1049676358598 1231763073865 1499537655140 1724468303411 2045979343030 2099352717196 2463526147730 2624190896495 3448936606822 4091958686060 4927052295460 5248381792990 6897873213644 8622341517055 10496763585980 12071278123877 17244683034110 24142556247754 34489366068220 48285112495508 60356390619385 120712781238770 241425562477540