Search a number
-
+
142343200524 = 223721975716831
BaseRepresentation
bin1000010010010001010…
…0001101111100001100
3111121102010211210120210
42010210110031330030
54313004324404044
6145220324442420
713166253145500
oct2044424157414
9447363753523
10142343200524
11554050313a8
1223706549410
1310566181695
146c64904300
153a817c81b9
hex212450df0c

142343200524 has 144 divisors (see below), whose sum is σ = 407256299520. Its totient is φ = 38475803520.

The previous prime is 142343200507. The next prime is 142343200553. The reversal of 142343200524 is 425002343241.

It is a junction number, because it is equal to n+sod(n) for n = 142343200491 and 142343200500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8448789 + ... + 8465619.

Almost surely, 2142343200524 is an apocalyptic number.

142343200524 is a gapful number since it is divisible by the number (14) 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 142343200524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203628149760).

142343200524 is an abundant number, since it is smaller than the sum of its proper divisors (264913098996).

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

142343200524 is a wasteful number, since it uses less digits than its factorization.

142343200524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17628 (or 17619 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 142343200524 its reverse (425002343241), we get a palindrome (567345543765).

The spelling of 142343200524 in words is "one hundred forty-two billion, three hundred forty-three million, two hundred thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 757 798 931 1514 1596 1862 2271 2793 3028 3724 4542 5299 5586 9084 10598 11172 14383 15897 16831 21196 28766 31794 33662 37093 43149 50493 57532 63588 67324 74186 86298 100681 100986 111279 117817 148372 172596 201362 201972 222558 235634 302043 319789 353451 402724 445116 471268 604086 639578 704767 706902 824719 959367 1208172 1279156 1409534 1413804 1649438 1918734 2114301 2238523 2474157 2819068 3298876 3837468 4228602 4477046 4948314 6715569 8457204 8954092 9896628 12741067 13431138 15669661 25482134 26862276 31339322 38223201 47008983 50964268 62678644 76446402 89187469 94017966 152892804 178374938 188035932 242080273 267562407 356749876 484160546 535124814 624312283 726240819 968321092 1070249628 1248624566 1452481638 1694561911 1872936849 2497249132 2904963276 3389123822 3745873698 5083685733 6778247644 7491747396 10167371466 11861933377 20334742932 23723866754 35585800131 47447733508 71171600262 142343200524