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242031342412431 = 341113107195284051
BaseRepresentation
bin110111000010000001010000…
…001100000110001010001111
31011201221222012101200102220000
4313002001100030012022033
5223210420142124144211
62214431355211255343
7101660121202112205
oct6702012014061217
91151858171612800
10242031342412431
1170133a090585a0
122318b366a4a553
13a5085c461a680
1443aa5453d9075
151ceabcd67e656
hexdc205030628f

242031342412431 has 80 divisors (see below), whose sum is σ = 428731294578048. Its totient is φ = 134136708264000.

The previous prime is 242031342412429. The next prime is 242031342412493. The reversal of 242031342412431 is 134214243130242.

242031342412431 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 31 + 342 + 41 + 243 + 1 = 666.

It is not a de Polignac number, because 242031342412431 - 21 = 242031342412429 is a prime.

It is a super-3 number, since 3×2420313424124313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242031342412331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96402645 + ... + 98881406.

Almost surely, 2242031342412431 is an apocalyptic number.

242031342412431 is a deficient number, since it is larger than the sum of its proper divisors (186699952165617).

242031342412431 is a wasteful number, since it uses less digits than its factorization.

242031342412431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195284194 (or 195284185 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 242031342412431 its reverse (134214243130242), we get a palindrome (376245585542673).

The spelling of 242031342412431 in words is "two hundred forty-two trillion, thirty-one billion, three hundred forty-two million, four hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 107 117 143 297 321 351 429 891 963 1053 1177 1287 1391 2889 3531 3861 4173 8667 10593 11583 12519 15301 31779 37557 45903 95337 112671 137709 413127 1239381 195284051 585852153 1757556459 2148124561 2538692663 5272669377 6444373683 7616077989 15818008131 19333121049 20895393457 22848233967 27925619293 57999363147 62686180371 68544701901 83776857879 173998089441 188058541113 205634105703 229849328027 251330573637 271640114941 564175623339 689547984081 753991720911 814920344823 1692526870017 2068643952243 2261975162733 2444761034469 2988041264351 6205931856729 7334283103407 8964123793053 18617795570187 22002849310221 26892371379159 80677114137477 242031342412431