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41707414000 = 245374172661
BaseRepresentation
bin100110110101111101…
…001010000111110000
310222122122212011012001
4212311331022013300
51140404044222000
631054330343344
73004356112120
oct466575120760
9128578764161
1041707414000
111676282549a
1280bb88ab54
133c18a265c5
142039262c80
15114185246a
hex9b5f4a1f0

41707414000 has 160 divisors (see below), whose sum is σ = 118068193152. Its totient is φ = 13950720000.

The previous prime is 41707413997. The next prime is 41707414003. The reversal of 41707414000 is 41470714.

It is an interprime number because it is at equal distance from previous prime (41707413997) and next prime (41707414003).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 41707414000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41707414003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 537670 + ... + 610330.

Almost surely, 241707414000 is an apocalyptic number.

41707414000 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 41707414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59034096576).

41707414000 is an abundant number, since it is smaller than the sum of its proper divisors (76360779152).

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

41707414000 is a wasteful number, since it uses less digits than its factorization.

41707414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72732 (or 72716 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

Adding to 41707414000 its reverse (41470714), we get a palindrome (41748884714).

The spelling of 41707414000 in words is "forty-one billion, seven hundred seven million, four hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 41 50 56 70 80 82 100 112 125 140 164 175 200 205 250 280 287 328 350 400 410 500 560 574 656 700 820 875 1000 1025 1148 1400 1435 1640 1750 2000 2050 2296 2800 2870 3280 3500 4100 4592 5125 5740 7000 7175 8200 10250 11480 14000 14350 16400 20500 22960 28700 35875 41000 57400 71750 72661 82000 114800 143500 145322 287000 290644 363305 508627 574000 581288 726610 1017254 1162576 1453220 1816525 2034508 2543135 2906440 2979101 3633050 4069016 5086270 5812880 5958202 7266100 8138032 9082625 10172540 11916404 12715675 14532200 14895505 18165250 20345080 20853707 23832808 25431350 29064400 29791010 36330500 40690160 41707414 47665616 50862700 59582020 63578375 72661000 74477525 83414828 101725400 104268535 119164040 127156750 145322000 148955050 166829656 203450800 208537070 238328080 254313500 297910100 333659312 372387625 417074140 508627000 521342675 595820200 744775250 834148280 1017254000 1042685350 1191640400 1489550500 1668296560 2085370700 2606713375 2979101000 4170741400 5213426750 5958202000 8341482800 10426853500 20853707000 41707414000