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141320000 = 26543533
BaseRepresentation
bin10000110110001…
…01111101000000
3100211220210121002
420123011331000
5242134220000
622004551132
73334125443
oct1033057500
9324823532
10141320000
1172853898
123b3b24a8
1323380103
1414aa965a
15c6178d5
hex86c5f40

141320000 has 70 divisors (see below), whose sum is σ = 350526858. Its totient is φ = 56512000.

The previous prime is 141319949. The next prime is 141320029. The reversal of 141320000 is 23141.

It is a happy number.

141320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 32993536 + 108326464 = 5744^2 + 10408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38234 + ... + 41766.

Almost surely, 2141320000 is an apocalyptic number.

141320000 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 141320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175263429).

141320000 is an abundant number, since it is smaller than the sum of its proper divisors (209206858).

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

141320000 is an frugal number, since it uses more digits than its factorization.

141320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 141320000 is about 11887.8088813709. The cubic root of 141320000 is about 520.8762346883.

Adding to 141320000 its reverse (23141), we get a palindrome (141343141).

The spelling of 141320000 in words is "one hundred forty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3533 4000 5000 7066 8000 10000 14132 17665 20000 28264 35330 40000 56528 70660 88325 113056 141320 176650 226112 282640 353300 441625 565280 706600 883250 1130560 1413200 1766500 2208125 2826400 3533000 4416250 5652800 7066000 8832500 14132000 17665000 28264000 35330000 70660000 141320000