Search a number
-
+
25723416240 = 243551323221
BaseRepresentation
bin10111111101001111…
…000010111010110000
32110101201010221100000
4113331033002322300
5410140143304430
615452302030000
71600310300424
oct277517027260
973351127300
1025723416240
11aa0021a395
124b9a878300
13256c383c72
141360498b84
15a0846ce60
hex5fd3c2eb0

25723416240 has 120 divisors (see below), whose sum is σ = 89587422288. Its totient is φ = 6859572480.

The previous prime is 25723416239. The next prime is 25723416253. The reversal of 25723416240 is 4261432752.

25723416240 is a `hidden beast` number, since 2 + 5 + 7 + 23 + 4 + 1 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25723416195 and 25723416204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642171 + ... + 681050.

Almost surely, 225723416240 is an apocalyptic number.

25723416240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25723416240 is an abundant number, since it is smaller than the sum of its proper divisors (63864006048).

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

25723416240 is a wasteful number, since it uses less digits than its factorization.

25723416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323249 (or 1323231 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 25723416240 its reverse (4261432752), we get a palindrome (29984848992).

The spelling of 25723416240 in words is "twenty-five billion, seven hundred twenty-three million, four hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 1323221 2646442 3969663 5292884 6616105 7939326 10585768 11908989 13232210 15878652 19848315 21171536 23817978 26464420 31757304 35726967 39696630 47635956 52928840 59544945 63514608 71453934 79393260 95271912 105857680 107180901 119089890 142907868 158786520 178634835 190543824 214361802 238179780 285815736 317573040 321542703 357269670 428723604 476359560 535904505 571631472 643085406 714539340 857447208 952719120 1071809010 1286170812 1429078680 1607713515 1714894416 2143618020 2572341624 2858157360 3215427030 4287236040 5144683248 6430854060 8574472080 12861708120 25723416240