Search a number
-
+
142035057504 = 25325924113467
BaseRepresentation
bin1000010001000111110…
…0101111101101100000
3111120121200000111211100
42010101330233231200
54311341433320004
6145130000114400
713155522032364
oct2042174575540
9446550014740
10142035057504
11552670a5a4a
122363b305a00
1310517392332
146c35a112a4
153a6470b739
hex2111f2fb60

142035057504 has 144 divisors (see below), whose sum is σ = 411047058240. Its totient is φ = 46509838080.

The previous prime is 142035057503. The next prime is 142035057529. The reversal of 142035057504 is 405750530241.

142035057504 is a `hidden beast` number, since 14 + 20 + 3 + 50 + 575 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142035057503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40965979 + ... + 40969445.

It is an arithmetic number, because the mean of its divisors is an integer number (2854493460).

Almost surely, 2142035057504 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 142035057504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205523529120).

142035057504 is an abundant number, since it is smaller than the sum of its proper divisors (269012000736).

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

142035057504 is a wasteful number, since it uses less digits than its factorization.

142035057504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 142035057504 its reverse (405750530241), we get a palindrome (547785587745).

The spelling of 142035057504 in words is "one hundred forty-two billion, thirty-five million, fifty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2411 2832 3467 4248 4822 5664 6934 7233 8496 9644 10401 13868 14466 16992 19288 20802 21699 27736 28932 31203 38576 41604 43398 55472 57864 62406 77152 83208 86796 110944 115728 124812 142249 166416 173592 204553 231456 249624 284498 332832 347184 409106 426747 499248 568996 613659 694368 818212 853494 998496 1137992 1227318 1280241 1636424 1706988 1840977 2275984 2454636 2560482 3272848 3413976 3681954 4551968 4909272 5120964 6545696 6827952 7363908 8358937 9818544 10241928 13655904 14727816 16717874 19637088 20483856 25076811 29455632 33435748 40967712 50153622 58911264 66871496 75230433 100307244 133742992 150460866 200614488 267485984 300921732 401228976 493177283 601843464 802457952 986354566 1203686928 1479531849 1972709132 2407373856 2959063698 3945418264 4438595547 5918127396 7890836528 8877191094 11836254792 15781673056 17754382188 23672509584 35508764376 47345019168 71017528752 142035057504