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51241031440 = 24517175321493
BaseRepresentation
bin101111101110001101…
…000001011100010000
311220021002001002201021
4233232031001130100
51314420201001230
635312333045224
73462541403134
oct575615013420
9156232032637
1051241031440
111a805254375
129b20626814
134aa7bcc361
1426a14a13c4
1514ed7d7c7a
hexbee341710

51241031440 has 80 divisors (see below), whose sum is σ = 126221193648. Its totient is φ = 19278839808.

The previous prime is 51241031437. The next prime is 51241031453. The reversal of 51241031440 is 4413014215.

It can be written as a sum of positive squares in 8 ways, for example, as 10675848976 + 40565182464 = 103324^2 + 201408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2373334 + ... + 2394826.

Almost surely, 251241031440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51241031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63110596824).

51241031440 is an abundant number, since it is smaller than the sum of its proper divisors (74980162208).

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

51241031440 is a wasteful number, since it uses less digits than its factorization.

51241031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23276 (or 23270 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 51241031440 its reverse (4413014215), we get a palindrome (55654045655).

The spelling of 51241031440 in words is "fifty-one billion, two hundred forty-one million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1753 3506 7012 8765 14024 17530 21493 28048 29801 35060 42986 59602 70120 85972 107465 119204 140240 149005 171944 214930 238408 298010 343888 365381 429860 476816 596020 730762 859720 1192040 1461524 1719440 1826905 2384080 2923048 3653810 5846096 7307620 14615240 29230480 37677229 75354458 150708916 188386145 301417832 376772290 602835664 640512893 753544580 1281025786 1507089160 2562051572 3014178320 3202564465 5124103144 6405128930 10248206288 12810257860 25620515720 51241031440