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30142433112 = 233111931193847
BaseRepresentation
bin11100000100101000…
…010000011101011000
32212210200022020212120
4130010220100131120
5443212430324422
621503000541240
72114646311511
oct340450203530
985720266776
1030142433112
1111868688150
125a12781820
132ac4a44a4c
14165d323a08
15bb63b145c
hex704a10758

30142433112 has 128 divisors (see below), whose sum is σ = 89325158400. Its totient is φ = 8374147200.

The previous prime is 30142433077. The next prime is 30142433129. The reversal of 30142433112 is 21133424103.

It is a happy number.

It is a super-2 number, since 2×301424331122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58573 + ... + 252419.

It is an arithmetic number, because the mean of its divisors is an integer number (697852800).

Almost surely, 230142433112 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 30142433112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44662579200).

30142433112 is an abundant number, since it is smaller than the sum of its proper divisors (59182725288).

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

30142433112 is a wasteful number, since it uses less digits than its factorization.

30142433112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193917 (or 193913 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30142433112 its reverse (21133424103), we get a palindrome (51275857215).

Subtracting from 30142433112 its reverse (21133424103), we obtain a palindrome (9009009009).

The spelling of 30142433112 in words is "thirty billion, one hundred forty-two million, four hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 31 33 38 44 57 62 66 76 88 93 114 124 132 152 186 209 228 248 264 341 372 418 456 589 627 682 744 836 1023 1178 1254 1364 1672 1767 2046 2356 2508 2728 3534 4092 4712 5016 6479 7068 8184 12958 14136 19437 25916 38874 51832 77748 155496 193847 387694 581541 775388 1163082 1550776 2132317 2326164 3683093 4264634 4652328 6009257 6396951 7366186 8529268 11049279 12018514 12793902 14732372 17058536 18027771 22098558 24037028 25587804 29464744 36055542 40514023 44197116 48074056 51175608 66101827 72111084 81028046 88394232 114175883 121542069 132203654 144222168 162056092 198305481 228351766 243084138 264407308 324112184 342527649 396610962 456703532 486168276 528814616 685055298 793221924 913407064 972336552 1255934713 1370110596 1586443848 2511869426 2740221192 3767804139 5023738852 7535608278 10047477704 15071216556 30142433112