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142506250000 = 24581512
BaseRepresentation
bin1000010010111000001…
…0001100111100010000
3111121211111122120102021
42010232002030330100
54313323100000000
6145244431301224
713203303065422
oct2045602147420
9447744576367
10142506250000
1155489076934
122375107a814
1310590b9c16a
146c7c428812
153a90c8411a
hex212e08cf10

142506250000 has 135 divisors (see below), whose sum is σ = 347432927583. Its totient is φ = 56625000000.

The previous prime is 142506249943. The next prime is 142506250021. The reversal of 142506250000 is 52605241.

The square root of 142506250000 is 377500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 101319982864 + 41186267136 = 318308^2 + 202944^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 943749925 + ... + 943750075.

Almost surely, 2142506250000 is an apocalyptic number.

142506250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142506250000 is the 377500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142506250000

142506250000 is an abundant number, since it is smaller than the sum of its proper divisors (204926677583).

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

142506250000 is an frugal number, since it uses more digits than its factorization.

142506250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Multiplying 142506250000 by its sum of digits (25), we get a square (3562656250000 = 18875002).

142506250000 divided by its sum of digits (25) gives a square (5700250000 = 755002).

Adding to 142506250000 its reverse (52605241), we get a palindrome (142558855241).

The spelling of 142506250000 in words is "one hundred forty-two billion, five hundred six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 151 200 250 302 400 500 604 625 755 1000 1208 1250 1510 2000 2416 2500 3020 3125 3775 5000 6040 6250 7550 10000 12080 12500 15100 15625 18875 22801 25000 30200 31250 37750 45602 50000 60400 62500 75500 78125 91204 94375 114005 125000 151000 156250 182408 188750 228010 250000 302000 312500 364816 377500 390625 456020 471875 570025 625000 755000 781250 912040 943750 1140050 1250000 1510000 1562500 1824080 1887500 2280100 2359375 2850125 3125000 3775000 4560200 4718750 5700250 6250000 7550000 9120400 9437500 11400500 11796875 14250625 18875000 22801000 23593750 28501250 37750000 45602000 47187500 57002500 58984375 71253125 94375000 114005000 117968750 142506250 188750000 228010000 235937500 285012500 356265625 471875000 570025000 712531250 943750000 1140050000 1425062500 1781328125 2850125000 3562656250 5700250000 7125312500 8906640625 14250625000 17813281250 28501250000 35626562500 71253125000 142506250000