Search a number
-
+
104243745424 = 24721328872
BaseRepresentation
bin110000100010101101…
…0010101001010010000
3100222001220222221120011
41201011122111022100
53201442344323144
6115520001124304
710350154134100
oct1410532251220
9328056887504
10104243745424
1140233970925
1218253029694
139aa3a93a00
14508c903200
152aa1aaaa34
hex1845695290

104243745424 has 135 divisors (see below), whose sum is σ = 254697555177. Its totient is φ = 41192790912.

The previous prime is 104243745409. The next prime is 104243745439. The reversal of 104243745424 is 424547342401.

The square root of 104243745424 is 322868.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (104243745409) and next prime (104243745439).

It can be written as a sum of positive squares in only one way, i.e., 15420672400 + 88823073024 = 124180^2 + 298032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117523509 + ... + 117524395.

Almost surely, 2104243745424 is an apocalyptic number.

104243745424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

104243745424 is the 322868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104243745424

104243745424 is an abundant number, since it is smaller than the sum of its proper divisors (150453809753).

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

104243745424 is an frugal number, since it uses more digits than its factorization.

104243745424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 40.

The spelling of 104243745424 in words is "one hundred four billion, two hundred forty-three million, seven hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 887 1183 1274 1352 1456 1774 2366 2548 2704 3548 4732 5096 6209 7096 8281 9464 10192 11531 12418 14192 16562 18928 23062 24836 33124 43463 46124 49672 66248 80717 86926 92248 99344 132496 149903 161434 173852 184496 299806 322868 347704 565019 599612 645736 695408 786769 1049321 1130038 1199224 1291472 1573538 2098642 2260076 2398448 3147076 4197284 4520152 5507383 6294152 7345247 8394568 9040304 10227997 11014766 12588304 14690494 16789136 20455994 22029532 29380988 38551681 40911988 44059064 58761976 71595979 77103362 81823976 88118128 117523952 132963961 143191958 154206724 163647952 265927922 286383916 308413448 501171853 531855844 572767832 616826896 930747727 1002343706 1063711688 1145535664 1861495454 2004687412 2127423376 3722990908 4009374824 6515234089 7445981816 8018749648 13030468178 14891963632 26060936356 52121872712 104243745424