Search a number
-
+
43155425040 = 243572131983179
BaseRepresentation
bin101000001100010000…
…111000011100010000
311010101120112201220120
4220030100320130100
51201340242100130
631454134310240
73055301026500
oct501420703420
9133346481816
1043155425040
1117336126632
1284447b8380
1340b9a15080
1421356b1a00
1511c8a2c910
hexa0c438710

43155425040 has 960 divisors, whose sum is σ = 179538508800. Its totient is φ = 8474554368.

The previous prime is 43155425029. The next prime is 43155425077. The reversal of 43155425040 is 4052455134.

It is a junction number, because it is equal to n+sod(n) for n = 43155424992 and 43155425010.

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, 241091671 + ... + 241091849.

It is an arithmetic number, because the mean of its divisors is an integer number (187019280).

Almost surely, 243155425040 is an apocalyptic number.

43155425040 is a gapful number since it is divisible by the number (40) 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 43155425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89769254400).

43155425040 is an abundant number, since it is smaller than the sum of its proper divisors (136383083760).

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

43155425040 is a wasteful number, since it uses less digits than its factorization.

43155425040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 43155425040 in words is "forty-three billion, one hundred fifty-five million, four hundred twenty-five thousand, forty".