Search a number
-
+
42605065140 = 2235113171139211
BaseRepresentation
bin100111101011011101…
…011011001110110100
311001222012221120001120
4213223131123032310
51144223344041030
631323354223540
73035536035621
oct475335331664
9131865846046
1042605065140
11170834a3040
128310424bb0
13402c9a9b21
1420c256b348
151195568010
hex9eb75b3b4

42605065140 has 384 divisors, whose sum is σ = 137859563520. Its totient is φ = 9737280000.

The previous prime is 42605065067. The next prime is 42605065159. The reversal of 42605065140 is 4156050624.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201919635 + ... + 201919845.

It is an arithmetic number, because the mean of its divisors is an integer number (359009280).

Almost surely, 242605065140 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 42605065140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68929781760).

42605065140 is an abundant number, since it is smaller than the sum of its proper divisors (95254498380).

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

42605065140 is a wasteful number, since it uses less digits than its factorization.

42605065140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 42605065140 in words is "forty-two billion, six hundred five million, sixty-five thousand, one hundred forty".