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443204100042 = 231124324158909
BaseRepresentation
bin1100111001100010000…
…01011101111111001010
31120100222122201001110020
412130301001131333022
524230140222200132
6535334414001310
744010003456234
oct6346101357712
91510878631406
10443204100042
11160a64184200
1271a901a6236
1332a42466692
1417646105254
15b7de83d52c
hex673105dfca

443204100042 has 96 divisors (see below), whose sum is σ = 1001128793280. Its totient is φ = 130634380800.

The previous prime is 443204100037. The next prime is 443204100091. The reversal of 443204100042 is 240001402344.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 443204099985 and 443204100021.

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, 7494084 + ... + 7552992.

It is an arithmetic number, because the mean of its divisors is an integer number (10428424930).

Almost surely, 2443204100042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443204100042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500564396640).

443204100042 is an abundant number, since it is smaller than the sum of its proper divisors (557924693238).

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

443204100042 is a wasteful number, since it uses less digits than its factorization.

443204100042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59220 (or 59209 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 443204100042 its reverse (240001402344), we get a palindrome (683205502386).

The spelling of 443204100042 in words is "four hundred forty-three billion, two hundred four million, one hundred thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 121 129 241 242 258 363 473 482 723 726 946 1419 1446 2651 2838 5203 5302 7953 10363 10406 15609 15906 20726 29161 31089 31218 58322 58909 62178 87483 113993 117818 174966 176727 227986 341979 353454 647999 683958 1253923 1295998 1943997 2507846 2533087 3761769 3887994 5066174 7127989 7523538 7599261 14197069 14255978 15198522 21383967 27863957 28394138 42591207 42767934 55727914 83591871 85182414 156167759 167183742 306503527 312335518 468503277 610473967 613007054 919510581 937006554 1220947934 1717845349 1831421901 1839021162 3435690698 3662843802 5153536047 6715213637 10307072094 13430427274 20145640911 40291281822 73867350007 147734700014 221602050021 443204100042