Search a number
-
+
53340200144 = 247111714991699
BaseRepresentation
bin110001101011010100…
…101101110011010000
312002200100222220211022
4301223110231303100
51333220042401034
640300521335012
73565551135410
oct615324556320
9162610886738
1053340200144
1120692174940
12a407637468
135050a88a0a
1428201b2640
1515c2c38b2e
hexc6b52dcd0

53340200144 has 160 divisors (see below), whose sum is σ = 136598400000. Its totient is φ = 19534878720.

The previous prime is 53340200141. The next prime is 53340200149. The reversal of 53340200144 is 44100204335.

53340200144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53340200141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31394207 + ... + 31395905.

It is an arithmetic number, because the mean of its divisors is an integer number (853740000).

Almost surely, 253340200144 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 53340200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200000).

53340200144 is an abundant number, since it is smaller than the sum of its proper divisors (83258199856).

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

53340200144 is a wasteful number, since it uses less digits than its factorization.

53340200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 53340200144 its reverse (44100204335), we get a palindrome (97440404479).

The spelling of 53340200144 in words is "fifty-three billion, three hundred forty million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1499 1699 1904 2618 2992 2998 3398 5236 5996 6796 10472 10493 11893 11992 13592 16489 18689 20944 20986 23786 23984 25483 27184 28883 32978 37378 41972 47572 50966 57766 65956 74756 83944 95144 101932 115423 115532 130823 131912 149512 167888 178381 190288 202181 203864 230846 231064 261646 263824 280313 299024 317713 356762 404362 407728 461692 462128 523292 560626 635426 713524 808724 923384 1046584 1121252 1270852 1427048 1617448 1846768 1962191 2093168 2223991 2242504 2541704 2546801 2854096 3234896 3924382 4447982 4485008 5083408 5093602 7848764 8895964 10187204 15697528 17791928 17827607 20374408 28014811 31395056 35583856 35655214 40748816 43295617 56029622 71310428 86591234 112059244 142620856 173182468 196103677 224118488 285241712 303069319 346364936 392207354 448236976 476251787 606138638 692729872 784414708 952503574 1212277276 1568829416 1905007148 2424554552 3137658832 3333762509 3810014296 4849109104 6667525018 7620028592 13335050036 26670100072 53340200144