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42306110133450 = 23522418039145577
BaseRepresentation
bin10011001111010001010001…
…01010101001010011001010
312112210102110112222211101120
421213220220222221103022
521021120403143232300
6225551054135500110
711624341563541332
oct1147505052512312
9175712415884346
1042306110133450
1112530a14285919
1248b325a827636
131a7b5ab7a74c7
14a638ab7880c2
154d572b9e83a0
hex267a28aa94ca

42306110133450 has 96 divisors (see below), whose sum is σ = 105368331530880. Its totient is φ = 11233342924800.

The previous prime is 42306110133431. The next prime is 42306110133473. The reversal of 42306110133450 is 5433101160324.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290537062 + ... + 290682638.

It is an arithmetic number, because the mean of its divisors is an integer number (1097586786780).

Almost surely, 242306110133450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42306110133450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52684165765440).

42306110133450 is an abundant number, since it is smaller than the sum of its proper divisors (63062221397430).

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

42306110133450 is a wasteful number, since it uses less digits than its factorization.

42306110133450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153872 (or 153867 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 42306110133450 its reverse (5433101160324), we get a palindrome (47739211293774).

The spelling of 42306110133450 in words is "forty-two trillion, three hundred six billion, one hundred ten million, one hundred thirty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 241 482 723 1205 1446 2410 3615 6025 7230 8039 12050 16078 18075 24117 36150 40195 48234 80390 120585 145577 200975 241170 291154 401950 436731 602925 727885 873462 1205850 1455770 1937399 2183655 3639425 3874798 4367310 5812197 7278850 9686995 10918275 11624394 19373990 21836550 29060985 35084057 48434975 58121970 70168114 96869950 105252171 145304925 175420285 210504342 290609850 350840570 526260855 877101425 1052521710 1170293503 1754202850 2340587006 2631304275 3510880509 5262608550 5851467515 7021761018 11702935030 17554402545 29257337575 35108805090 58514675150 87772012725 175544025450 282040734223 564081468446 846122202669 1410203671115 1692244405338 2820407342230 4230611013345 7051018355575 8461222026690 14102036711150 21153055066725 42306110133450