Search a number
-
+
500141405364720 = 2435714912281162691
BaseRepresentation
bin111000110111000000011111…
…0110011011110000111110000
32102120212001101110201110010220
41301232000332303132013300
51011023304044233132340
64531413442325253040
7210230011160632260
oct16156007663360760
92376761343643126
10500141405364720
111353a686273a259
1248116908864180
131860c194462232
148b70d8a5957a0
153cc4c5bbc3ed0
hex1c6e03ecde1f0

500141405364720 has 320 divisors, whose sum is σ = 1783977910963200. Its totient is φ = 113540856422400.

The previous prime is 500141405364701. The next prime is 500141405364763. The reversal of 500141405364720 is 27463504141005.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3074098575 + ... + 3074261265.

It is an arithmetic number, because the mean of its divisors is an integer number (5574930971760).

Almost surely, 2500141405364720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500141405364720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891988955481600).

500141405364720 is an abundant number, since it is smaller than the sum of its proper divisors (1283836505598480).

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

500141405364720 is a wasteful number, since it uses less digits than its factorization.

500141405364720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175144 (or 175138 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 500141405364720 in words is "five hundred trillion, one hundred forty-one billion, four hundred five million, three hundred sixty-four thousand, seven hundred twenty".