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42145120032330 = 23578315831527457
BaseRepresentation
bin10011001010100101011001…
…11010001001011001001010
312112020000220212201022222210
421211102230322021121022
521011001201212013310
6225345111215125550
711606612235343050
oct1145225472113112
9175200825638883
1042145120032330
11124797105a0077
12488800b5138b6
131a69363388243
14a59b985821d0
154d1458182820
hex2654ace8964a

42145120032330 has 128 divisors (see below), whose sum is σ = 117064772149248. Its totient is φ = 9511089702912.

The previous prime is 42145120032329. The next prime is 42145120032341. The reversal of 42145120032330 is 3323002154124.

It is a super-2 number, since 2×421451200323302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26827962 + ... + 28355418.

It is an arithmetic number, because the mean of its divisors is an integer number (914568532416).

Almost surely, 242145120032330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42145120032330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58532386074624).

42145120032330 is an abundant number, since it is smaller than the sum of its proper divisors (74919652116918).

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

42145120032330 is a wasteful number, since it uses less digits than its factorization.

42145120032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529140.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 42145120032330 its reverse (3323002154124), we get a palindrome (45468122186454).

The spelling of 42145120032330 in words is "forty-two trillion, one hundred forty-five billion, one hundred twenty million, thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1583 1743 2490 2905 3166 3486 4749 5810 7915 8715 9498 11081 15830 17430 22162 23745 33243 47490 55405 66486 110810 131389 166215 262778 332430 394167 656945 788334 919723 1313890 1527457 1839446 1970835 2759169 3054914 3941670 4582371 4598615 5518338 7637285 9164742 9197230 10692199 13795845 15274570 21384398 22911855 27591690 32076597 45823710 53460995 64153194 106921990 126778931 160382985 253557862 320765970 380336793 633894655 760673586 887452517 1267789310 1774905034 1901683965 2417964431 2662357551 3803367930 4437262585 4835928862 5324715102 7253893293 8874525170 12089822155 13311787755 14507786586 16925751017 24179644310 26623575510 33851502034 36269466465 50777253051 72538932930 84628755085 101554506102 169257510170 200691047773 253886265255 401382095546 507772530510 602073143319 1003455238865 1204146286638 1404837334411 2006910477730 2809674668822 3010365716595 4214512003233 6020731433190 7024186672055 8429024006466 14048373344110 21072560016165 42145120032330