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542421234225 = 32521317103105907
BaseRepresentation
bin1111110010010101101…
…00110011001000110001
31220212002021020200200200
413321022310303020301
532341334313443400
61053103533305413
754121463263143
oct7711264631061
91825067220620
10542421234225
1119a048711662
128915b935269
133c1c4a120c0
141c3791bac93
15e199e87b00
hex7e4ad33231

542421234225 has 144 divisors (see below), whose sum is σ = 1118581656192. Its totient is φ = 248887572480.

The previous prime is 542421234217. The next prime is 542421234253. The reversal of 542421234225 is 522432124245.

542421234225 is a `hidden beast` number, since 5 + 4 + 2 + 421 + 2 + 3 + 4 + 225 = 666.

It is not a de Polignac number, because 542421234225 - 23 = 542421234217 is a prime.

It is a super-2 number, since 2×5424212342252 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 542421234225.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5068722 + ... + 5174628.

It is an arithmetic number, because the mean of its divisors is an integer number (7767928168).

Almost surely, 2542421234225 is an apocalyptic number.

It is an amenable number.

542421234225 is an abundant number, since it is smaller than the sum of its proper divisors (576160421967).

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

542421234225 is a wasteful number, since it uses less digits than its factorization.

542421234225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106056 (or 106048 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The spelling of 542421234225 in words is "five hundred forty-two billion, four hundred twenty-one million, two hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 103 117 153 195 221 225 255 309 325 425 515 585 663 765 927 975 1105 1275 1339 1545 1751 1989 2575 2925 3315 3825 4017 4635 5253 5525 6695 7725 8755 9945 12051 15759 16575 20085 22763 23175 26265 33475 43775 49725 60255 68289 78795 100425 105907 113815 131325 204867 301275 317721 341445 393975 529535 569075 953163 1024335 1376791 1588605 1707225 1800419 2647675 4130373 4765815 5121675 5401257 6883955 7943025 9002095 10908421 12391119 16203771 20651865 23405447 23829075 27006285 32725263 34419775 45010475 54542105 61955595 70216341 81018855 98175789 103259325 117027235 135031425 141809473 163626315 185443157 210649023 272710525 309777975 351081705 405094275 425428419 490878945 556329471 585136175 709047365 818131575 927215785 1053245115 1276285257 1668988413 1755408525 2127142095 2410761041 2454394725 2781647355 3545236825 4636078925 5266225575 6381426285 7232283123 8344942065 10635710475 12053805205 13908236775 21696849369 31907131425 36161415615 41724710325 60269026025 108484246845 180807078075 542421234225