Search a number
-
+
5414394480 = 2435114914177
BaseRepresentation
bin1010000101011100…
…10001101001110000
3111222100010201220220
411002232101221300
542042041110410
62253133133040
7251113410435
oct50256215160
914870121826
105414394480
112329314790
12107132a180
13683970021
14395131b8c
1521a510070
hex142b91a70

5414394480 has 160 divisors (see below), whose sum is σ = 18352182528. Its totient is φ = 1309593600.

The previous prime is 5414394463. The next prime is 5414394487. The reversal of 5414394480 is 844934145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414394487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294152 + ... + 1298328.

Almost surely, 25414394480 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 5414394480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176091264).

5414394480 is an abundant number, since it is smaller than the sum of its proper divisors (12937788048).

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

5414394480 is a wasteful number, since it uses less digits than its factorization.

5414394480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4695 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 5414394480 is about 73582.5691315545. The cubic root of 5414394480 is about 1755.9681381648.

The spelling of 5414394480 in words is "five billion, four hundred fourteen million, three hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 491 528 660 880 982 1320 1473 1964 2455 2640 2946 3928 4177 4910 5401 5892 7365 7856 8354 9820 10802 11784 12531 14730 16203 16708 19640 20885 21604 23568 25062 27005 29460 32406 33416 39280 41770 43208 45947 50124 54010 58920 62655 64812 66832 81015 83540 86416 91894 100248 108020 117840 125310 129624 137841 162030 167080 183788 200496 216040 229735 250620 259248 275682 324060 334160 367576 432080 459470 501240 551364 648120 689205 735152 918940 1002480 1102728 1296240 1378410 1837880 2050907 2205456 2756820 3675760 4101814 5513640 6152721 8203628 10254535 11027280 12305442 16407256 20509070 22559977 24610884 30763605 32814512 41018140 45119954 49221768 61527210 67679931 82036280 90239908 98443536 112799885 123054420 135359862 164072560 180479816 225599770 246108840 270719724 338399655 360959632 451199540 492217680 541439448 676799310 902399080 1082878896 1353598620 1804798160 2707197240 5414394480