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130434432404000 = 255346271704731
BaseRepresentation
bin11101101010000100100010…
…000000101000101000100000
3122002211102001212020000100212
4131222010202000220220200
5114044014204143412000
61141224430120033252
736321401554210124
oct3552044200505040
9562742055200325
10130434432404000
1138618a2874535a
1212767097602828
1357a1bb665587a
14242d0bb31b584
151012d73ca5c35
hex76a122028a20

130434432404000 has 96 divisors (see below), whose sum is σ = 320484781274112. Its totient is φ = 52172571360000.

The previous prime is 130434432403943. The next prime is 130434432404011. The reversal of 130434432404000 is 404234434031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184731635 + ... + 185436365.

It is an arithmetic number, because the mean of its divisors is an integer number (3338383138272).

Almost surely, 2130434432404000 is an apocalyptic number.

130434432404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434432404000 is an abundant number, since it is smaller than the sum of its proper divisors (190050348870112).

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

130434432404000 is an equidigital number, since it uses as much as digits as its factorization.

130434432404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751027 (or 751009 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 130434432404000 its reverse (404234434031), we get a palindrome (130838666838031).

The spelling of 130434432404000 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred thirty-two million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 46271 92542 185084 231355 370168 462710 704731 740336 925420 1156775 1409462 1480672 1850840 2313550 2818924 3523655 3701680 4627100 5637848 5783875 7047310 7403360 9254200 11275696 11567750 14094620 17618275 18508400 22551392 23135500 28189240 35236550 37016800 46271000 56378480 70473100 88091375 92542000 112756960 140946200 176182750 185084000 281892400 352365500 563784800 704731000 1409462000 2818924000 32608608101 65217216202 130434432404 163043040505 260868864808 326086081010 521737729616 652172162020 815215202525 1043475459232 1304344324040 1630430405050 2608688648080 3260860810100 4076076012625 5217377296160 6521721620200 8152152025250 13043443240400 16304304050500 26086886480800 32608608101000 65217216202000 130434432404000