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121540455205434 = 23341115347611727
BaseRepresentation
bin11011101000101001010111…
…101010001000101000111010
3120221100011011022000112122000
4123220221113222020220322
5111412304323013033214
61110254525254041430
734413002532323106
oct3350512752105072
9527304138015560
10121540455205434
11357aa021457181
121176b430649276
1352a82a5cc5955
14220283751c906
15e0b82d452809
hex6e8a57a88a3a

121540455205434 has 64 divisors (see below), whose sum is σ = 276917427924480. Its totient is φ = 39491070013440.

The previous prime is 121540455205391. The next prime is 121540455205439. The reversal of 121540455205434 is 434502554045121.

121540455205434 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 4 + 0 + 4 + 5 + 5 + 205 + 434 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121540455205434.

It is not an unprimeable number, because it can be changed into a prime (121540455205439) 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, 21253122 + ... + 26358605.

It is an arithmetic number, because the mean of its divisors is an integer number (4326834811320).

Almost surely, 2121540455205434 is an apocalyptic number.

121540455205434 is an abundant number, since it is smaller than the sum of its proper divisors (155376972719046).

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

121540455205434 is a wasteful number, since it uses less digits than its factorization.

121540455205434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47612932 (or 47612926 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 121540455205434 in words is "one hundred twenty-one trillion, five hundred forty billion, four hundred fifty-five million, two hundred five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 1153 2214 2306 3459 6918 10377 20754 31131 47273 62262 94546 141819 283638 425457 850914 1276371 2552742 47611727 95223454 142835181 285670362 428505543 857011086 1285516629 1952080807 2571033258 3904161614 5856242421 11712484842 17568727263 35137454526 52706181789 54896321231 105412363578 109792642462 164688963693 329377927386 494066891079 988133782158 1482200673237 2250749170471 2964401346474 4501498340942 6752247511413 13504495022826 20256742534239 40513485068478 60770227602717 121540455205434