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51404240000 = 27542922157
BaseRepresentation
bin101111110111111011…
…100111010010000000
311220200110010221202202
4233313323213102000
51320233441140000
635340443132332
73466562554631
oct576773472200
9156613127682
1051404240000
111a889398383
129b672140a8
134b02974379
1426b9027888
15150ccc5dd5
hexbf7ee7480

51404240000 has 160 divisors (see below), whose sum is σ = 132386294700. Its totient is φ = 19851776000.

The previous prime is 51404239993. The next prime is 51404240009. The reversal of 51404240000 is 4240415.

It can be written as a sum of positive squares in 10 ways, for example, as 288456256 + 51115783744 = 16984^2 + 226088^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (51404240009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2308922 + ... + 2331078.

Almost surely, 251404240000 is an apocalyptic number.

51404240000 is a gapful number since it is divisible by the number (50) 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 51404240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66193147350).

51404240000 is an abundant number, since it is smaller than the sum of its proper divisors (80982054700).

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

51404240000 is an equidigital number, since it uses as much as digits as its factorization.

51404240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22220 (or 22193 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 51404240000 its reverse (4240415), we get a palindrome (51408480415).

The spelling of 51404240000 in words is "fifty-one billion, four hundred four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 290 320 400 464 500 580 625 640 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3200 3625 3712 4000 4640 5000 5800 7250 8000 9280 10000 11600 14500 16000 18125 18560 20000 22157 23200 29000 36250 40000 44314 46400 58000 72500 80000 88628 92800 110785 116000 145000 177256 221570 232000 290000 354512 443140 464000 553925 580000 642553 709024 886280 1107850 1160000 1285106 1418048 1772560 2215700 2320000 2570212 2769625 2836096 3212765 3545120 4431400 5140424 5539250 6425530 7090240 8862800 10280848 11078500 12851060 13848125 14180480 16063825 17725600 20561696 22157000 25702120 27696250 32127650 35451200 41123392 44314000 51404240 55392500 64255300 70902400 80319125 82246784 88628000 102808480 110785000 128510600 160638250 177256000 205616960 221570000 257021200 321276500 354512000 401595625 411233920 443140000 514042400 642553000 803191250 886280000 1028084800 1285106000 1606382500 1772560000 2056169600 2570212000 3212765000 5140424000 6425530000 10280848000 12851060000 25702120000 51404240000