Search a number
-
+
248298309040 = 24543241299501
BaseRepresentation
bin1110011100111110111…
…0111000010110110000
3212201220100001222222011
43213033232320112300
513032003331342130
6310022222252304
723640030542425
oct3471756702660
9781810058864
10248298309040
1196336a16691
1240156727094
131a55066ca72
14c036809d4c
1566d372e52a
hex39cfbb85b0

248298309040 has 80 divisors (see below), whose sum is σ = 593172097056. Its totient is φ = 96606720000.

The previous prime is 248298308987. The next prime is 248298309043. The reversal of 248298309040 is 40903892842.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (248298309043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679290 + ... + 978790.

Almost surely, 2248298309040 is an apocalyptic number.

248298309040 is a gapful number since it is divisible by the number (20) 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 248298309040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296586048528).

248298309040 is an abundant number, since it is smaller than the sum of its proper divisors (344873788016).

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

248298309040 is a wasteful number, since it uses less digits than its factorization.

248298309040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299798 (or 299792 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 248298309040 in words is "two hundred forty-eight billion, two hundred ninety-eight million, three hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 241 344 430 482 688 860 964 1205 1720 1928 2410 3440 3856 4820 9640 10363 19280 20726 41452 51815 82904 103630 165808 207260 299501 414520 599002 829040 1198004 1497505 2396008 2995010 4792016 5990020 11980040 12878543 23960080 25757086 51514172 64392715 72179741 103028344 128785430 144359482 206056688 257570860 288718964 360898705 515141720 577437928 721797410 1030283440 1154875856 1443594820 2887189640 3103728863 5774379280 6207457726 12414915452 15518644315 24829830904 31037288630 49659661808 62074577260 124149154520 248298309040