Search a number
-
+
42320100000 = 25355141067
BaseRepresentation
bin100111011010011110…
…010111101010100000
311001020100201211101010
4213122132113222200
51143132421200000
631235214340520
73025505625513
oct473236275240
9131210654333
1042320100000
1116a47658562
128250aba740
133cb59444b9
14209678cd7a
15117a528d50
hex9da797aa0

42320100000 has 144 divisors (see below), whose sum is σ = 138854925216. Its totient is φ = 11285280000.

The previous prime is 42320099951. The next prime is 42320100023. The reversal of 42320100000 is 102324.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229467 + ... + 370533.

It is an arithmetic number, because the mean of its divisors is an integer number (964270314).

Almost surely, 242320100000 is an apocalyptic number.

42320100000 is a gapful number since it is divisible by the number (40) 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 42320100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69427462608).

42320100000 is an abundant number, since it is smaller than the sum of its proper divisors (96534825216).

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

42320100000 is an equidigital number, since it uses as much as digits as its factorization.

42320100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141105 (or 141077 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 42320100000 its reverse (102324), we get a palindrome (42320202324).

The spelling of 42320100000 in words is "forty-two billion, three hundred twenty million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 141067 150000 282134 300000 423201 564268 705335 846402 1128536 1410670 1692804 2116005 2257072 2821340 3385608 3526675 4232010 4514144 5642680 6771216 7053350 8464020 10580025 11285360 13542432 14106700 16928040 17633375 21160050 22570720 28213400 33856080 35266750 42320100 52900125 56426800 67712160 70533500 84640200 88166875 105800250 112853600 141067000 169280400 176333750 211600500 264500625 282134000 338560800 352667500 423201000 440834375 529001250 564268000 705335000 846402000 881668750 1058002500 1322503125 1410670000 1692804000 1763337500 2116005000 2645006250 2821340000 3526675000 4232010000 5290012500 7053350000 8464020000 10580025000 14106700000 21160050000 42320100000