Search a number
-
+
4445140590 = 232511291071447
BaseRepresentation
bin1000010001111001…
…10111011001101110
3102110210022112112200
410020330313121232
533100423444330
62013030442330
7215104033362
oct41074673156
912423275480
104445140590
111981190a10
12a408033a6
1355ac09607
143025092a2
151b03a3a60
hex108f3766e

4445140590 has 192 divisors, whose sum is σ = 13173788160. Its totient is φ = 1030014720.

The previous prime is 4445140571. The next prime is 4445140607. The reversal of 4445140590 is 950415444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3071247 + ... + 3072693.

It is an arithmetic number, because the mean of its divisors is an integer number (68613480).

Almost surely, 24445140590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4445140590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586894080).

4445140590 is an abundant number, since it is smaller than the sum of its proper divisors (8728647570).

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

4445140590 is a wasteful number, since it uses less digits than its factorization.

4445140590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4445140590 is about 66671.8875539009. The cubic root of 4445140590 is about 1644.2272205342.

The spelling of 4445140590 in words is "four billion, four hundred forty-five million, one hundred forty thousand, five hundred ninety".