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24142043112 = 233111920992293
BaseRepresentation
bin10110011110111110…
…100101011111101000
32022022111111212012220
4112132332211133220
5343420330334422
615031331434040
71513155660225
oct263676453750
968274455186
1024142043112
11a269610350
124819155920
132379870615
14125045294c
159646ece5c
hex59efa57e8

24142043112 has 128 divisors (see below), whose sum is σ = 69370560000. Its totient is φ = 6924407040.

The previous prime is 24142043099. The next prime is 24142043113. The reversal of 24142043112 is 21134024142.

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

It is not an unprimeable number, because it can be changed into a prime (24142043113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10527438 + ... + 10529730.

It is an arithmetic number, because the mean of its divisors is an integer number (541957500).

Almost surely, 224142043112 is an apocalyptic number.

24142043112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24142043112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34685280000).

24142043112 is an abundant number, since it is smaller than the sum of its proper divisors (45228516888).

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

24142043112 is a wasteful number, since it uses less digits than its factorization.

24142043112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 24142043112 its reverse (21134024142), we get a palindrome (45276067254).

The spelling of 24142043112 in words is "twenty-four billion, one hundred forty-two million, forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2099 2293 2508 4198 4586 5016 6297 6879 8396 9172 12594 13758 16792 18344 23089 25188 25223 27516 39881 43567 46178 50376 50446 55032 69267 75669 79762 87134 92356 100892 119643 130701 138534 151338 159524 174268 184712 201784 239286 261402 277068 302676 319048 348536 438691 478572 479237 522804 554136 605352 877382 957144 958474 1045608 1316073 1437711 1754764 1916948 2632146 2875422 3509528 3833896 4813007 5264292 5750844 9626014 10528584 11501688 14439021 19252028 28878042 38504056 52943077 57756084 91447133 105886154 115512168 158829231 182894266 211772308 274341399 317658462 365788532 423544616 548682798 635316924 731577064 1005918463 1097365596 1270633848 2011836926 2194731192 3017755389 4023673852 6035510778 8047347704 12071021556 24142043112