Search a number
-
+
42550544000 = 27538929881
BaseRepresentation
bin100111101000001101…
…011100011010000000
311001211102100121010002
4213220031130122000
51144120414402000
631314125455132
73034304441066
oct475015343200
9131742317102
1042550544000
1117055744548
1282b61114a8
1340215ca8b3
1420b9218036
1511908988d5
hex9e835c680

42550544000 has 128 divisors (see below), whose sum is σ = 106983536400. Its totient is φ = 16828416000.

The previous prime is 42550543969. The next prime is 42550544017. The reversal of 42550544000 is 44505524.

It can be written as a sum of positive squares in 8 ways, for example, as 1853130304 + 40697413696 = 43048^2 + 201736^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1409060 + ... + 1438940.

Almost surely, 242550544000 is an apocalyptic number.

42550544000 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 42550544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53491768200).

42550544000 is an abundant number, since it is smaller than the sum of its proper divisors (64432992400).

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

42550544000 is an equidigital number, since it uses as much as digits as its factorization.

42550544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29999 (or 29977 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The spelling of 42550544000 in words is "forty-two billion, five hundred fifty million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 128 160 178 200 250 320 356 400 445 500 640 712 800 890 1000 1424 1600 1780 2000 2225 2848 3200 3560 4000 4450 5696 7120 8000 8900 11125 11392 14240 16000 17800 22250 28480 29881 35600 44500 56960 59762 71200 89000 119524 142400 149405 178000 239048 284800 298810 356000 478096 597620 712000 747025 956192 1195240 1424000 1494050 1912384 2390480 2659409 2988100 3735125 3824768 4780960 5318818 5976200 7470250 9561920 10637636 11952400 13297045 14940500 19123840 21275272 23904800 26594090 29881000 42550544 47809600 53188180 59762000 66485225 85101088 95619200 106376360 119524000 132970450 170202176 212752720 239048000 265940900 332426125 340404352 425505440 478096000 531881800 664852250 851010880 1063763600 1329704500 1702021760 2127527200 2659409000 4255054400 5318818000 8510108800 10637636000 21275272000 42550544000