Search a number
-
+
38309917140 = 22355114779193
BaseRepresentation
bin100011101011011100…
…101111000111010100
310122212212212102200000
4203223130233013110
51111424314322030
625333242251300
72524232631345
oct435334570724
9118785772600
1038309917140
1115279a49850
127511ab6b30
1337c6b98c31
141bd5d480cc
15ee3441860
hex8eb72f1d4

38309917140 has 576 divisors, whose sum is σ = 136667381760. Its totient is φ = 8928092160.

The previous prime is 38309917109. The next prime is 38309917147. The reversal of 38309917140 is 4171990383.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38309917147) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 198496884 + ... + 198497076.

It is an arithmetic number, because the mean of its divisors is an integer number (237269760).

Almost surely, 238309917140 is an apocalyptic number.

38309917140 is a gapful number since it is divisible by the number (30) 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 38309917140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68333690880).

38309917140 is an abundant number, since it is smaller than the sum of its proper divisors (98357464620).

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

38309917140 is a wasteful number, since it uses less digits than its factorization.

38309917140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 38309917140 in words is "thirty-eight billion, three hundred nine million, nine hundred seventeen thousand, one hundred forty".