Search a number
-
+
143460445920 = 2535112173143109
BaseRepresentation
bin1000010110011011101…
…0001010111011100000
3111201022000010202010220
42011212322022323200
54322301333232140
6145523235123040
713236040445631
oct2054672127340
9451260122126
10143460445920
1155928755400
1223978743480
13106b378ca2c
146d2d051888
153ae9918bd0
hex2166e8aee0

143460445920 has 1152 divisors, whose sum is σ = 560623472640. Its totient is φ = 30656102400.

The previous prime is 143460445831. The next prime is 143460445943. The reversal of 143460445920 is 29544064341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1316150826 + ... + 1316150934.

It is an arithmetic number, because the mean of its divisors is an integer number (486652320).

Almost surely, 2143460445920 is an apocalyptic number.

143460445920 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 143460445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280311736320).

143460445920 is an abundant number, since it is smaller than the sum of its proper divisors (417163026720).

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

143460445920 is a wasteful number, since it uses less digits than its factorization.

143460445920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 143460445920 in words is "one hundred forty-three billion, four hundred sixty million, four hundred forty-five thousand, nine hundred twenty".