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42132250420 = 22513478294159
BaseRepresentation
bin100111001111010001…
…110001111100110100
311000202021021002012021
4213033101301330310
51142241324003140
631204424202524
73021035135221
oct471721617464
9130667232167
1042132250420
1116960614377
1281ba009444
133c85a527c0
142079850948
151168cbeb4a
hex9cf471f34

42132250420 has 96 divisors (see below), whose sum is σ = 97451827200. Its totient is φ = 15203510784.

The previous prime is 42132250361. The next prime is 42132250423. The reversal of 42132250420 is 2405223124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132250423) 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, 10128301 + ... + 10132459.

It is an arithmetic number, because the mean of its divisors is an integer number (1015123200).

Almost surely, 242132250420 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 42132250420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48725913600).

42132250420 is an abundant number, since it is smaller than the sum of its proper divisors (55319576780).

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

42132250420 is a wasteful number, since it uses less digits than its factorization.

42132250420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 42132250420 its reverse (2405223124), we get a palindrome (44537473544).

The spelling of 42132250420 in words is "forty-two billion, one hundred thirty-two million, two hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 829 940 1222 1658 2444 3055 3316 4145 4159 6110 8290 8318 10777 12220 16580 16636 20795 21554 38963 41590 43108 53885 54067 77926 83180 107770 108134 155852 194815 195473 215540 216268 270335 389630 390946 506519 540670 779260 781892 977365 1013038 1081340 1954730 2026076 2532595 2541149 3447811 3909460 5065190 5082298 6895622 10130380 10164596 12705745 13791244 17239055 25411490 34478110 44821543 50822980 68956220 89643086 162047117 179286172 224107715 324094234 448215430 648188468 810235585 896430860 1620471170 2106612521 3240942340 4213225042 8426450084 10533062605 21066125210 42132250420