Search a number
-
+
142440000 = 263541187
BaseRepresentation
bin10000111110101…
…11011001000000
3100221000200221120
420133113121000
5242431040000
622044552240
73346501653
oct1037273100
9327020846
10142440000
117344930a
123b852680
1323682b31
1414cbb89a
15c7896a0
hex87d7640

142440000 has 140 divisors (see below), whose sum is σ = 471336624. Its totient is φ = 37952000.

The previous prime is 142439993. The next prime is 142440007. The reversal of 142440000 is 44241.

It is an interprime number because it is at equal distance from previous prime (142439993) and next prime (142440007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (142440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119407 + ... + 120593.

Almost surely, 2142440000 is an apocalyptic number.

142440000 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 142440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235668312).

142440000 is an abundant number, since it is smaller than the sum of its proper divisors (328896624).

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

142440000 is an equidigital number, since it uses as much as digits as its factorization.

142440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 142440000 is about 11934.8229982686. The cubic root of 142440000 is about 522.2486447741.

Adding to 142440000 its reverse (44241), we get a palindrome (142484241).

The spelling of 142440000 in words is "one hundred forty-two million, four hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1187 1200 1250 1500 1600 1875 2000 2374 2400 2500 3000 3561 3750 4000 4748 4800 5000 5935 6000 7122 7500 8000 9496 10000 11870 12000 14244 15000 17805 18992 20000 23740 24000 28488 29675 30000 35610 37984 40000 47480 56976 59350 60000 71220 75968 89025 94960 113952 118700 120000 142440 148375 178050 189920 227904 237400 284880 296750 356100 379840 445125 474800 569760 593500 712200 741875 890250 949600 1139520 1187000 1424400 1483750 1780500 1899200 2225625 2374000 2848800 2967500 3561000 4451250 4748000 5697600 5935000 7122000 8902500 9496000 11870000 14244000 17805000 23740000 28488000 35610000 47480000 71220000 142440000