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41111242000 = 2453101271751
BaseRepresentation
bin100110010010011010…
…111100010100010000
310221010010001110221121
4212102122330110100
51133143434221000
630515232332024
72653526535253
oct462232742420
9127103043847
1041111242000
1116487251664
127b740a4014
133b5236b1ca
141dbddd509a
15110933db1a
hex9926bc510

41111242000 has 160 divisors (see below), whose sum is σ = 100895827968. Its totient is φ = 16200000000.

The previous prime is 41111241991. The next prime is 41111242043. The reversal of 41111242000 is 24211114.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54741625 + ... + 54742375.

Almost surely, 241111242000 is an apocalyptic number.

41111242000 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 41111242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50447913984).

41111242000 is an abundant number, since it is smaller than the sum of its proper divisors (59784585968).

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

41111242000 is a wasteful number, since it uses less digits than its factorization.

41111242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 41111242000 its reverse (24211114), we get a palindrome (41135453114).

The spelling of 41111242000 in words is "forty-one billion, one hundred eleven million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 271 400 404 500 505 542 751 808 1000 1010 1084 1355 1502 1616 2000 2020 2168 2525 2710 3004 3755 4040 4336 5050 5420 6008 6775 7510 8080 10100 10840 12016 12625 13550 15020 18775 20200 21680 25250 27100 27371 30040 33875 37550 40400 50500 54200 54742 60080 67750 75100 75851 93875 101000 108400 109484 135500 136855 150200 151702 187750 202000 203521 218968 271000 273710 300400 303404 375500 379255 407042 437936 542000 547420 606808 684275 751000 758510 814084 1017605 1094840 1213616 1368550 1502000 1517020 1628168 1896275 2035210 2189680 2737100 3034040 3256336 3421375 3792550 4070420 5088025 5474200 6068080 6842750 7585100 8140840 9481375 10176050 10948400 13685500 15170200 16281680 18962750 20352100 20555621 25440125 27371000 30340400 37925500 40704200 41111242 50880250 54742000 75851000 81408400 82222484 101760500 102778105 151702000 164444968 203521000 205556210 328889936 407042000 411112420 513890525 822224840 1027781050 1644449680 2055562100 2569452625 4111124200 5138905250 8222248400 10277810500 20555621000 41111242000