Search a number
-
+
53153120531240 = 235711271471100183
BaseRepresentation
bin11000001010111101011001…
…10111100011001100101000
320222012101111100201110120122
430011132230313203030220
523431330042323444430
6305014112333142412
714124120606625202
oct1405365467431450
9228171440643518
1053153120531240
1115a33125928254
125b6552062aa08
132387419168502
14d1a8a64b1772
1562297bdd4ee5
hex3057acde3328

53153120531240 has 128 divisors (see below), whose sum is σ = 122318220165120. Its totient is φ = 20782395244800.

The previous prime is 53153120531227. The next prime is 53153120531243. The reversal of 53153120531240 is 4213502135135.

It is a happy number.

53153120531240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×531531205312403 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53153120531240.

It is not an unprimeable number, because it can be changed into a prime (53153120531243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530510189 + ... + 530610371.

It is an arithmetic number, because the mean of its divisors is an integer number (955611095040).

Almost surely, 253153120531240 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 53153120531240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61159110082560).

53153120531240 is an abundant number, since it is smaller than the sum of its proper divisors (69165099633880).

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

53153120531240 is a wasteful number, since it uses less digits than its factorization.

53153120531240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101863 (or 101859 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 53153120531240 its reverse (4213502135135), we get a palindrome (57366622666375).

The spelling of 53153120531240 in words is "fifty-three trillion, one hundred fifty-three billion, one hundred twenty million, five hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 127 142 254 284 355 508 568 635 710 1016 1270 1420 1471 2540 2840 2942 5080 5884 7355 9017 11768 14710 18034 29420 36068 45085 58840 72136 90170 100183 104441 180340 186817 200366 208882 360680 373634 400732 417764 500915 522205 747268 801464 835528 934085 1001830 1044410 1494536 1868170 2003660 2088820 3736340 4007320 4177640 7112993 7472680 12723241 13264007 14225986 25446482 26528014 28451972 35564965 50892964 53056028 56903944 63616205 66320035 71129930 101785928 106112056 127232410 132640070 142259860 147369193 254464820 265280140 284519720 294738386 508929640 530560280 589476772 736845965 903350111 1178953544 1473691930 1806700222 2947383860 3613400444 4516750555 5894767720 7226800888 9033501110 10463212703 18067002220 18715887511 20926425406 36134004440 37431775022 41852850812 52316063515 74863550044 83705701624 93579437555 104632127030 149727100088 187158875110 209264254060 374317750220 418528508120 748635500440 1328828013281 2657656026562 5315312053124 6644140066405 10630624106248 13288280132810 26576560265620 53153120531240