Search a number
-
+
104542240400 = 24521323874099
BaseRepresentation
bin110000101011100110…
…0111111111010010000
3100222211201200001200122
41201113030333322100
53203100303143100
6120005343005412
710360440244613
oct1412714777220
9328751601618
10104542240400
1140377407594
1218316b99868
139b20885760
1450ba40417a
152abcdbd985
hex185733fe90

104542240400 has 120 divisors (see below), whose sum is σ = 282243393600. Its totient is φ = 36921899520.

The previous prime is 104542240379. The next prime is 104542240417. The reversal of 104542240400 is 4042245401.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 104542240400.

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, 317450 + ... + 556649.

It is an arithmetic number, because the mean of its divisors is an integer number (2352028280).

Almost surely, 2104542240400 is an apocalyptic number.

104542240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104542240400 is an abundant number, since it is smaller than the sum of its proper divisors (177701153200).

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

104542240400 is a wasteful number, since it uses less digits than its factorization.

104542240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874153 (or 874142 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 104542240400 its reverse (4042245401), we get a palindrome (108584485801).

The spelling of 104542240400 in words is "one hundred four billion, five hundred forty-two million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 23 25 26 40 46 50 52 65 80 92 100 104 115 130 184 200 208 230 260 299 325 368 400 460 520 575 598 650 920 1040 1150 1196 1300 1495 1840 2300 2392 2600 2990 4600 4784 5200 5980 7475 9200 11960 14950 23920 29900 59800 119600 874099 1748198 3496396 4370495 6992792 8740990 11363287 13985584 17481980 20104277 21852475 22726574 34963960 40208554 43704950 45453148 56816435 69927920 80417108 87409900 90906296 100521385 113632870 160834216 174819800 181812592 201042770 227265740 261355601 284082175 321668432 349639600 402085540 454531480 502606925 522711202 568164350 804171080 909062960 1005213850 1045422404 1136328700 1306778005 1608342160 2010427700 2090844808 2272657400 2613556010 4020855400 4181689616 4545314800 5227112020 6533890025 8041710800 10454224040 13067780050 20908448080 26135560100 52271120200 104542240400