Search a number
-
+
42143615220 = 22357297147779
BaseRepresentation
bin100111001111111101…
…001000100011110100
311000210001122110202210
4213033331020203310
51142302231141340
631205511533420
73021233550600
oct471775104364
9130701573683
1042143615220
1116966a76973
12820198a270
133c88201635
14207b16c500
151169cb7180
hex9cff488f4

42143615220 has 144 divisors (see below), whose sum is σ = 138683845440. Its totient is φ = 9533454336.

The previous prime is 42143615197. The next prime is 42143615237. The reversal of 42143615220 is 2251634124.

It is a super-2 number, since 2×421436152202 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 211291 + ... + 359069.

It is an arithmetic number, because the mean of its divisors is an integer number (963082260).

Almost surely, 242143615220 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 42143615220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69341922720).

42143615220 is an abundant number, since it is smaller than the sum of its proper divisors (96540230220).

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

42143615220 is a wasteful number, since it uses less digits than its factorization.

42143615220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147902 (or 147893 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 42143615220 in words is "forty-two billion, one hundred forty-three million, six hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 97 98 105 140 147 194 196 210 245 291 294 388 420 485 490 582 588 679 735 970 980 1164 1358 1455 1470 1940 2037 2716 2910 2940 3395 4074 4753 5820 6790 8148 9506 10185 13580 14259 19012 20370 23765 28518 40740 47530 57036 71295 95060 142590 147779 285180 295558 443337 591116 738895 886674 1034453 1477790 1773348 2068906 2216685 2955580 3103359 4137812 4433370 5172265 6206718 7241171 8866740 10344530 12413436 14334563 14482342 15516795 20689060 21723513 28669126 28964684 31033590 36205855 43003689 43447026 57338252 62067180 71672815 72411710 86007378 86894052 100341941 108617565 143345630 144823420 172014756 200683882 215018445 217235130 286691260 301025823 401367764 430036890 434470260 501709705 602051646 702393587 860073780 1003419410 1204103292 1404787174 1505129115 2006838820 2107180761 2809574348 3010258230 3511967935 4214361522 6020516460 7023935870 8428723044 10535903805 14047871740 21071807610 42143615220