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42341444414325 = 3352723761377137
BaseRepresentation
bin10011010000010011000101…
…10000001110101101110101
312112220210200001200021111000
421220021202300032231311
521022210234232224300
6230015220244033513
711630032315142430
oct1150114260165565
9175823601607430
1042341444414325
11125449a6595041
1248ba080092899
131a81a2003c604
14a654a042c817
154d65e8aa9c00
hex268262c0eb75

42341444414325 has 96 divisors (see below), whose sum is σ = 88898607307520. Its totient is φ = 19355222937600.

The previous prime is 42341444414299. The next prime is 42341444414419. The reversal of 42341444414325 is 52341444414324.

42341444414325 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 144 + 441 + 43 + 25 = 666.

It is not a de Polignac number, because 42341444414325 - 25 = 42341444414293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112082157 + ... + 112459293.

Almost surely, 242341444414325 is an apocalyptic number.

42341444414325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42341444414325 is an abundant number, since it is smaller than the sum of its proper divisors (46557162893195).

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

42341444414325 is a wasteful number, since it uses less digits than its factorization.

42341444414325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400924 (or 400913 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 45.

Adding to 42341444414325 its reverse (52341444414324), we get a palindrome (94682888828649).

Subtracting 42341444414325 from its reverse (52341444414324), we obtain a palindrome (9999999999999).

The spelling of 42341444414325 in words is "forty-two trillion, three hundred forty-one billion, four hundred forty-four million, four hundred fourteen thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 4725 23761 71283 118805 166327 213849 356415 377137 498981 594025 641547 831635 1069245 1131411 1496943 1782075 1885685 2494905 2639959 3207735 3394233 4158175 4490829 5346225 5657055 7484715 7919877 9428425 10182699 12474525 13199795 16038675 16971165 22454145 23759631 28285275 37423575 39599385 50913495 65998975 71278893 84855825 112270725 118798155 197996925 254567475 356394465 593990775 1781972325 8961152257 26883456771 44805761285 62728065799 80650370313 134417283855 188184197397 224028806425 241951110939 313640328995 403251851565 564552592191 672086419275 940920986985 1209755554695 1568201644975 1693657776573 2016259257825 2822762960955 4704604934925 6048777773475 8468288882865 14113814804775 42341444414325