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42130422110304 = 25321116843789571
BaseRepresentation
bin10011001010001010000001…
…10110000001100001100000
312112011121222112222112101100
421211011000312001201200
521010231101030012204
6225334240531434400
711605552064146323
oct1145050066014140
9175147875875340
1042130422110304
1112473458a41780
1248851a9155a00
131a67b602b6a68
14a591a25127ba
154d0d97b3ca39
hex265140d81860

42130422110304 has 144 divisors (see below), whose sum is σ = 130707984947904. Its totient is φ = 12766020422400.

The previous prime is 42130422110263. The next prime is 42130422110333. The reversal of 42130422110304 is 40301122403124.

42130422110304 is a `hidden beast` number, since 4 + 2 + 130 + 4 + 221 + 1 + 0 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52963839 + ... + 53753409.

It is an arithmetic number, because the mean of its divisors is an integer number (907694339916).

Almost surely, 242130422110304 is an apocalyptic number.

42130422110304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42130422110304 is an abundant number, since it is smaller than the sum of its proper divisors (88577562837600).

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

42130422110304 is a wasteful number, since it uses less digits than its factorization.

42130422110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806441 (or 806430 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42130422110304 its reverse (40301122403124), we get a palindrome (82431544513428).

The spelling of 42130422110304 in words is "forty-two trillion, one hundred thirty billion, four hundred twenty-two million, one hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 16843 33686 50529 67372 101058 134744 151587 185273 202116 269488 303174 370546 404232 538976 555819 606348 741092 789571 808464 1111638 1212696 1482184 1579142 1616928 1667457 2223276 2368713 2425392 2964368 3158284 3334914 4446552 4737426 4850784 5928736 6316568 6669828 7106139 8685281 8893104 9474852 12633136 13339656 14212278 17370562 17786208 18949704 25266272 26055843 26679312 28424556 34741124 37899408 52111686 53358624 56849112 69482248 75798816 78167529 104223372 113698224 138964496 156335058 208446744 227396448 277928992 312670116 416893488 625340232 833786976 1250680464 2501360928 13298744353 26597488706 39896233059 53194977412 79792466118 106389954824 119688699177 146286187883 159584932236 212779909648 239377398354 292572375766 319169864472 425559819296 438858563649 478754796708 585144751532 638339728944 877717127298 957509593416 1170289503064 1276679457888 1316575690947 1755434254596 1915019186832 2340579006128 2633151381894 3510868509192 3830038373664 4681158012256 5266302763788 7021737018384 10532605527576 14043474036768 21065211055152 42130422110304