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42228230173176 = 23347713659144103
BaseRepresentation
bin10011001101000000001101…
…01010001011000111111000
312112111222102222002221011110
421212200012222023013320
521013331403411020201
6225451214154000320
711615613624026505
oct1146400652130770
9175458388087143
1042228230173176
111250098a054a93
1248a0144a160a0
131a74149958a88
14a5dc003d44ac
154d36be6ee6d6
hex266806a8b1f8

42228230173176 has 128 divisors (see below), whose sum is σ = 109365943910400. Its totient is φ = 13578742988160.

The previous prime is 42228230173123. The next prime is 42228230173301. The reversal of 42228230173176 is 67137103282224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292969941 + ... + 293114043.

It is an arithmetic number, because the mean of its divisors is an integer number (854421436800).

Almost surely, 242228230173176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42228230173176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54682971955200).

42228230173176 is an abundant number, since it is smaller than the sum of its proper divisors (67137713737224).

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

42228230173176 is a wasteful number, since it uses less digits than its factorization.

42228230173176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147889 (or 147885 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 42228230173176 in words is "forty-two trillion, two hundred twenty-eight billion, two hundred thirty million, one hundred seventy-three thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 47 71 94 141 142 188 213 282 284 376 426 564 568 852 1128 1704 3337 3659 6674 7318 10011 10977 13348 14636 20022 21954 26696 29272 40044 43908 80088 87816 144103 171973 259789 288206 343946 432309 515919 519578 576412 687892 779367 864618 1031838 1039156 1152824 1375784 1558734 1729236 2063676 2078312 3117468 3458472 4127352 6234936 6772841 10231313 12210083 13545682 20318523 20462626 24420166 27091364 30693939 36630249 40637046 40925252 48840332 54182728 61387878 73260498 81274092 81850504 97680664 122775756 146520996 162548184 245551512 293041992 480871711 527272877 961743422 1054545754 1442615133 1581818631 1923486844 2109091508 2885230266 3163637262 3846973688 4218183016 5770460532 6327274524 11540921064 12654549048 24781825219 37436374267 49563650438 74345475657 74872748534 99127300876 112309122801 148690951314 149745497068 198254601752 224618245602 297381902628 299490994136 449236491204 594763805256 898472982408 1759509590549 3519019181098 5278528771647 7038038362196 10557057543294 14076076724392 21114115086588 42228230173176