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42142634625 = 3537133733377
BaseRepresentation
bin100111001111111001…
…011001001010000001
311000202222210122122110
4213033321121022001
51142302003302000
631205434525533
73021222324660
oct471771311201
9130688718573
1042142634625
1116966467163
1282015968a9
133c87c4a1c0
14207ad94dd7
151169b71850
hex9cfe59281

42142634625 has 128 divisors (see below), whose sum is σ = 88643423232. Its totient is φ = 17302118400.

The previous prime is 42142634587. The next prime is 42142634641. The reversal of 42142634625 is 52643624124.

It is a happy number.

42142634625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42142634625 - 215 = 42142601857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1245937 + ... + 1279313.

It is an arithmetic number, because the mean of its divisors is an integer number (692526744).

Almost surely, 242142634625 is an apocalyptic number.

It is an amenable number.

42142634625 is an abundant number, since it is smaller than the sum of its proper divisors (46500788607).

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

42142634625 is a wasteful number, since it uses less digits than its factorization.

42142634625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33452 (or 33442 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The spelling of 42142634625 in words is "forty-two billion, one hundred forty-two million, six hundred thirty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 37 39 65 75 91 105 111 125 175 185 195 259 273 325 375 455 481 525 555 777 875 925 975 1295 1365 1443 1625 2275 2405 2625 2775 3367 3885 4625 4875 6475 6825 7215 10101 11375 12025 13875 16835 19425 32375 33377 34125 36075 50505 60125 84175 97125 100131 166885 180375 233639 252525 420875 433901 500655 700917 834425 1168195 1234949 1262625 1301703 2169505 2503275 3037307 3504585 3704847 4172125 5840975 6174745 6508515 8644643 9111921 10847525 12516375 15186535 16054337 17522925 18524235 25933929 29204875 30873725 32542575 43223215 45559605 48163011 54237625 75932675 80271685 87614625 92621175 112380359 129669645 154368625 162712875 216116075 227798025 240815055 337141077 379663375 401358425 463105875 561901795 648348225 1080580375 1138990125 1204075275 1685705385 2006792125 2809508975 3241741125 6020376375 8428526925 14047544875 42142634625