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41104532000 = 255372209717
BaseRepresentation
bin100110010010000001…
…010110001000100000
310221002122102120120002
4212102001112020200
51133140230011000
630514432435132
72653415520500
oct462201261040
9127078376502
1041104532000
1116483489304
127b719a8aa8
133b50b5bcac
141dbd169a00
1511089658d5
hex992056220

41104532000 has 144 divisors (see below), whose sum is σ = 117483184728. Its totient is φ = 14092915200.

The previous prime is 41104531991. The next prime is 41104532039. The reversal of 41104532000 is 23540114.

It can be written as a sum of positive squares in 4 ways, for example, as 9402017296 + 31702514704 = 96964^2 + 178052^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91142 + ... + 300858.

Almost surely, 241104532000 is an apocalyptic number.

41104532000 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 41104532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58741592364).

41104532000 is an abundant number, since it is smaller than the sum of its proper divisors (76378652728).

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

41104532000 is a wasteful number, since it uses less digits than its factorization.

41104532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209756 (or 209731 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 41104532000 in words is "forty-one billion, one hundred four million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 14000 19600 24500 28000 39200 49000 98000 196000 209717 419434 838868 1048585 1468019 1677736 2097170 2936038 3355472 4194340 5242925 5872076 6710944 7340095 8388680 10276133 10485850 11744152 14680190 16777360 20552266 20971700 23488304 26214625 29360380 33554720 36700475 41104532 41943400 46976608 51380665 52429250 58720760 73400950 82209064 83886800 102761330 104858500 117441520 146801900 164418128 167773600 183502375 205522660 209717000 234883040 256903325 293603800 328836256 367004750 411045320 419434000 513806650 587207600 734009500 822090640 838868000 1027613300 1174415200 1284516625 1468019000 1644181280 2055226600 2569033250 2936038000 4110453200 5138066500 5872076000 8220906400 10276133000 20552266000 41104532000