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10044343434420 = 223251069333115671
BaseRepresentation
bin1001001000101010000110…
…0001011011110010110100
31022120020012120020010020100
42102022201201123302310
52304031303404400140
633210150242434100
72054452123332231
oct222124141336264
938506176203210
1010044343434420
113222867016689
1211627b2362930
1357b240027109
1426a2124cc788
15126422ddd530
hex922a185bcb4

10044343434420 has 144 divisors (see below), whose sum is σ = 30507444938880. Its totient is φ = 2675011910400.

The previous prime is 10044343434409. The next prime is 10044343434443. The reversal of 10044343434420 is 2443434344001.

10044343434420 is a `hidden beast` number, since 100 + 4 + 43 + 43 + 434 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 640943185 + ... + 640958855.

It is an arithmetic number, because the mean of its divisors is an integer number (211857256520).

Almost surely, 210044343434420 is an apocalyptic number.

10044343434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044343434420 is an abundant number, since it is smaller than the sum of its proper divisors (20463101504460).

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

10044343434420 is a wasteful number, since it uses less digits than its factorization.

10044343434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20086 (or 20081 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 10044343434420 its reverse (2443434344001), we get a palindrome (12487777778421).

The spelling of 10044343434420 in words is "ten trillion, forty-four billion, three hundred forty-three million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1069 2138 3207 3331 4276 5345 6414 6662 9621 9993 10690 12828 13324 15671 16035 16655 19242 19986 21380 29979 31342 32070 33310 38484 39972 47013 48105 49965 59958 62684 64140 66620 78355 94026 96210 99930 119916 141039 149895 156710 188052 192420 199860 235065 282078 299790 313420 470130 564156 599580 705195 940260 1410390 2820780 3560839 7121678 10682517 14243356 16752299 17804195 21365034 32047551 33504598 35608390 42730068 50256897 52200101 53412585 64095102 67009196 71216780 83761495 100513794 104400202 106825170 128190204 150770691 156600303 160237755 167522990 201027588 208800404 213650340 251284485 261000505 301541382 313200606 320475510 335045980 469800909 502568970 522001010 603082764 626401212 640951020 753853455 783001515 939601818 1005137940 1044002020 1507706910 1566003030 1879203636 2349004545 3015413820 3132006060 4698009090 9396018180 55801907969 111603815938 167405723907 223207631876 279009539845 334811447814 502217171721 558019079690 669622895628 837028619535 1004434343442 1116038159380 1674057239070 2008868686884 2511085858605 3348114478140 5022171717210 10044343434420