Search a number
-
+
150201245040 = 243571110180473
BaseRepresentation
bin1000101111100010110…
…0010001110101110000
3112100200210010211011120
42023320230101311300
54430103004320130
6153000153542240
713565061342330
oct2137054216560
9470623124146
10150201245040
1158777761570
122513a114980
1311219181372
1473ac3b90c0
153d915d2910
hex22f8b11d70

150201245040 has 320 divisors, whose sum is σ = 586273047552. Its totient is φ = 30901248000.

The previous prime is 150201245039. The next prime is 150201245059. The reversal of 150201245040 is 40542102051.

It is a super-2 number, since 2×1502012450402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 150201245040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1826244 + ... + 1906716.

Almost surely, 2150201245040 is an apocalyptic number.

150201245040 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 150201245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293136523776).

150201245040 is an abundant number, since it is smaller than the sum of its proper divisors (436071802512).

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

150201245040 is a wasteful number, since it uses less digits than its factorization.

150201245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80608 (or 80602 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 150201245040 its reverse (40542102051), we get a palindrome (190743347091).

The spelling of 150201245040 in words is "one hundred fifty billion, two hundred one million, two hundred forty-five thousand, forty".