Search a number
-
+
41242034000 = 245317271353
BaseRepresentation
bin100110011010001101…
…110111111101010000
310221110020011101211202
4212122031313331100
51133430430042000
630540223530332
72660005335116
oct463215677520
9127406141752
1041242034000
1116544064622
127baba599a8
133b734a331b
141dd351dab6
151115a76dd5
hex99a377f50

41242034000 has 120 divisors (see below), whose sum is σ = 105935858808. Its totient is φ = 15526195200.

The previous prime is 41242033969. The next prime is 41242034077. The reversal of 41242034000 is 43024214.

It can be written as a sum of positive squares in 12 ways, for example, as 4588165696 + 36653868304 = 67736^2 + 191452^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542324 + ... + 613676.

Almost surely, 241242034000 is an apocalyptic number.

41242034000 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 41242034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52967929404).

41242034000 is an abundant number, since it is smaller than the sum of its proper divisors (64693824808).

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

41242034000 is a wasteful number, since it uses less digits than its factorization.

41242034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71410 (or 71377 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 41242034000 its reverse (43024214), we get a palindrome (41285058214).

The spelling of 41242034000 in words is "forty-one billion, two hundred forty-two million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 289 340 400 425 500 578 680 850 1000 1156 1360 1445 1700 2000 2125 2312 2890 3400 4250 4624 5780 6800 7225 8500 11560 14450 17000 23120 28900 34000 36125 57800 71353 72250 115600 142706 144500 285412 289000 356765 570824 578000 713530 1141648 1213001 1427060 1783825 2426002 2854120 3567650 4852004 5708240 6065005 7135300 8919125 9704008 12130010 14270600 17838250 19408016 20621017 24260020 28541200 30325025 35676500 41242034 48520040 60650050 71353000 82484068 97040080 103105085 121300100 142706000 151625125 164968136 206210170 242600200 303250250 329936272 412420340 485200400 515525425 606500500 824840680 1031050850 1213001000 1649681360 2062101700 2426002000 2577627125 4124203400 5155254250 8248406800 10310508500 20621017000 41242034000