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42435504104301 = 327113117657111871
BaseRepresentation
bin10011010011000010010010…
…01001011110001101101101
312120020210110020120121022100
421221201021021132031231
521030230403022314201
6230130333525405313
711636602231256010
oct1151411111361555
9176223406517270
1042435504104301
1112580883859310
124914350569839
131a8a85cc520b9
14a69c6457b377
154d8ca154c886
hex26984925e36d

42435504104301 has 96 divisors (see below), whose sum is σ = 78891003150336. Its totient is φ = 21331908576000.

The previous prime is 42435504104299. The next prime is 42435504104351. The reversal of 42435504104301 is 10340140553424.

42435504104301 is a `hidden beast` number, since 4 + 2 + 43 + 5 + 504 + 104 + 3 + 0 + 1 = 666.

It is not a de Polignac number, because 42435504104301 - 21 = 42435504104299 is a prime.

It is a super-2 number, since 2×424355041043012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42435504104351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379269396 + ... + 379381266.

It is an arithmetic number, because the mean of its divisors is an integer number (821781282816).

Almost surely, 242435504104301 is an apocalyptic number.

It is an amenable number.

42435504104301 is a deficient number, since it is larger than the sum of its proper divisors (36455499046035).

42435504104301 is a wasteful number, since it uses less digits than its factorization.

42435504104301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129583 (or 129580 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 42435504104301 its reverse (10340140553424), we get a palindrome (52775644657725).

The spelling of 42435504104301 in words is "forty-two trillion, four hundred thirty-five billion, five hundred four million, one hundred four thousand, three hundred one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 651 693 1023 1953 2387 3069 7161 17657 21483 52971 111871 123599 158913 194227 335613 370797 547367 582681 783097 1006839 1112391 1230581 1359589 1642101 1748043 2349291 3468001 3691743 3831569 4078767 4926303 6021037 7047873 8614067 10404003 11075229 11494707 12236301 18063111 24276007 25842201 31212009 34484121 38148011 42147259 54189333 72828021 77526603 114444033 126441777 218484063 267036077 343332099 379325331 801108231 1975306247 2403324693 5925918741 13827143729 17777756223 21728368717 41481431187 61234493657 65185106151 124444293561 152098581019 183703480971 195555318453 428641455599 456295743057 551110442913 673579430227 1285924366797 1368887229171 2020738290681 3857773100391 4715056011589 6062214872043 14145168034767 42435504104301