Search a number
-
+
42311320000 = 26541278329
BaseRepresentation
bin100111011001111100…
…111000000111000000
311001012202012202110221
4213121330320013000
51143123144220000
631234302232424
73025341200035
oct473174700700
9131182182427
1042311320000
1116a42700a64
128249b85714
133cb3b8c031
14209554538c
15117989261a
hex9d9f381c0

42311320000 has 140 divisors (see below), whose sum is σ = 105757146880. Its totient is φ = 16789248000.

The previous prime is 42311319971. The next prime is 42311320031. The reversal of 42311320000 is 2311324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5075836 + ... + 5084164.

It is an arithmetic number, because the mean of its divisors is an integer number (755408192).

Almost surely, 242311320000 is an apocalyptic number.

42311320000 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 42311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52878573440).

42311320000 is an abundant number, since it is smaller than the sum of its proper divisors (63445826880).

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

42311320000 is an equidigital number, since it uses as much as digits as its factorization.

42311320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488 (or 8463 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 42311320000 its reverse (2311324), we get a palindrome (42313631324).

It can be divided in two parts, 4231 and 1320000, that added together give a palindrome (1324231).

The spelling of 42311320000 in words is "forty-two billion, three hundred eleven million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 127 160 200 250 254 320 400 500 508 625 635 800 1000 1016 1250 1270 1600 2000 2032 2500 2540 3175 4000 4064 5000 5080 6350 8000 8128 8329 10000 10160 12700 15875 16658 20000 20320 25400 31750 33316 40000 40640 41645 50800 63500 66632 79375 83290 101600 127000 133264 158750 166580 203200 208225 254000 266528 317500 333160 416450 508000 533056 635000 666320 832900 1016000 1041125 1057783 1270000 1332640 1665800 2082250 2115566 2540000 2665280 3331600 4164500 4231132 5080000 5205625 5288915 6663200 8329000 8462264 10411250 10577830 13326400 16658000 16924528 20822500 21155660 26444575 33316000 33849056 41645000 42311320 52889150 66632000 67698112 83290000 84622640 105778300 132222875 166580000 169245280 211556600 264445750 333160000 338490560 423113200 528891500 661114375 846226400 1057783000 1322228750 1692452800 2115566000 2644457500 4231132000 5288915000 8462264000 10577830000 21155660000 42311320000