Search a number
-
+
10404123041200 = 2452730712103447
BaseRepresentation
bin1001011101100110011000…
…0011101101110110110000
31100211121212020000211001211
42113121212003231312300
52330430120444304300
634043331012205504
72122446603460510
oct227314603556660
940747766024054
1010404123041200
113351400249289
12120047b909894
135a6148a384c5
1427d7c2b13840
1513097d7b84ba
hex976660eddb0

10404123041200 has 120 divisors (see below), whose sum is σ = 28659802932992. Its totient is φ = 3555508296960.

The previous prime is 10404123041141. The next prime is 10404123041203. The reversal of 10404123041200 is 214032140401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10404123041203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5192124 + ... + 6911323.

Almost surely, 210404123041200 is an apocalyptic number.

10404123041200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10404123041200 is an abundant number, since it is smaller than the sum of its proper divisors (18255679891792).

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

10404123041200 is a wasteful number, since it uses less digits than its factorization.

10404123041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103779 (or 12103768 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10404123041200 its reverse (214032140401), we get a palindrome (10618155181601).

The spelling of 10404123041200 in words is "ten trillion, four hundred four billion, one hundred twenty-three million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 307 350 400 560 614 700 1228 1400 1535 2149 2456 2800 3070 4298 4912 6140 7675 8596 10745 12280 15350 17192 21490 24560 30700 34384 42980 53725 61400 85960 107450 122800 171920 214900 429800 859600 12103447 24206894 48413788 60517235 84724129 96827576 121034470 169448258 193655152 242068940 302586175 338896516 423620645 484137880 605172350 677793032 847241290 968275760 1210344700 1355586064 1694482580 2118103225 2420689400 3388965160 3715758229 4236206450 4841378800 6777930320 7431516458 8472412900 14863032916 16944825800 18578791145 26010307603 29726065832 33889651600 37157582290 52020615206 59452131664 74315164580 92893955725 104041230412 130051538015 148630329160 185787911450 208082460824 260103076030 297260658320 371575822900 416164921648 520206152060 650257690075 743151645800 1040412304120 1300515380150 1486303291600 2080824608240 2601030760300 5202061520600 10404123041200