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104102504240 = 24571767163211
BaseRepresentation
bin110000011110011111…
…1100010011100110000
3100221201002020011002012
41200330333202130300
53201200220113430
6115453553542052
710343520454160
oct1407477423460
9327632204065
10104102504240
1140171171279
1218213874928
139a80740747
145077c585a0
152a944ab695
hex183cfe2730

104102504240 has 160 divisors (see below), whose sum is σ = 297259974144. Its totient is φ = 33091153920.

The previous prime is 104102504227. The next prime is 104102504267. The reversal of 104102504240 is 42405201401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556235 + ... + 719445.

Almost surely, 2104102504240 is an apocalyptic number.

104102504240 is a gapful number since it is divisible by the number (10) 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 104102504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148629987072).

104102504240 is an abundant number, since it is smaller than the sum of its proper divisors (193157469904).

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

104102504240 is a wasteful number, since it uses less digits than its factorization.

104102504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163315 (or 163309 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 104102504240 its reverse (42405201401), we get a palindrome (146507705641).

The spelling of 104102504240 in words is "one hundred four billion, one hundred two million, five hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 67 68 70 80 85 112 119 134 136 140 170 238 268 272 280 335 340 469 476 536 560 595 670 680 938 952 1072 1139 1190 1340 1360 1876 1904 2278 2345 2380 2680 3752 4556 4690 4760 5360 5695 7504 7973 9112 9380 9520 11390 15946 18224 18760 22780 31892 37520 39865 45560 63784 79730 91120 127568 159460 163211 318920 326422 637840 652844 816055 1142477 1305688 1632110 2284954 2611376 2774587 3264220 4569908 5549174 5712385 6528440 9139816 10935137 11098348 11424770 13056880 13872935 18279632 19422109 21870274 22196696 22849540 27745870 38844218 43740548 44393392 45699080 54675685 55491740 76545959 77688436 87481096 91398160 97110545 109351370 110983480 153091918 155376872 174962192 185897329 194221090 218702740 221966960 306183836 310753744 371794658 382729795 388442180 437405480 612367672 743589316 765459590 776884360 874810960 929486645 1224735344 1301281303 1487178632 1530919180 1553768720 1858973290 2602562606 2974357264 3061838360 3717946580 5205125212 6123676720 6506406515 7435893160 10410250424 13012813030 14871786320 20820500848 26025626060 52051252120 104102504240