Search a number
-
+
142431553440 = 2536511313581
BaseRepresentation
bin1000010010100110010…
…1010000011110100000
3111121122022002121000000
42010221211100132200
54313144434202230
6145233202300000
713201405141251
oct2045145203640
9447568077000
10142431553440
115544a998240
1223730057600
131057b577a07
146c72542b28
153a8942bb60
hex21299507a0

142431553440 has 672 divisors, whose sum is σ = 568288369152. Its totient is φ = 33405696000.

The previous prime is 142431553417. The next prime is 142431553513. The reversal of 142431553440 is 44355134241.

142431553440 is a `hidden beast` number, since 1 + 42 + 43 + 1 + 5 + 534 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 142431553395 and 142431553404.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 39772450 + ... + 39776030.

It is an arithmetic number, because the mean of its divisors is an integer number (845667216).

Almost surely, 2142431553440 is an apocalyptic number.

142431553440 is a gapful number since it is divisible by the number (10) 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 142431553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284144184576).

142431553440 is an abundant number, since it is smaller than the sum of its proper divisors (425856815712).

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

142431553440 is a wasteful number, since it uses less digits than its factorization.

142431553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 142431553440 its reverse (44355134241), we get a palindrome (186786687681).

The spelling of 142431553440 in words is "one hundred forty-two billion, four hundred thirty-one million, five hundred fifty-three thousand, four hundred forty".