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100003432032144 = 24321669416098429
BaseRepresentation
bin10110101111001111011101…
…000010101110011110010000
3111010002020100010021211022100
4112233033131002232132100
5101101424012100012034
6552404535323040400
730031003162010664
oct2657173502563620
9433066303254270
10100003432032144
1129956243330783
12b271403070100
1343a538b1a59b4
141a9a29895a8a4
15b864bac53099
hex5af3dd0ae790

100003432032144 has 60 divisors (see below), whose sum is σ = 280038404374300. Its totient is φ = 33314504539392.

The previous prime is 100003432032121. The next prime is 100003432032221. The reversal of 100003432032144 is 441230234300001.

100003432032144 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 3 + 4 + 320 + 321 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19596558240000 + 80406873792144 = 4426800^2 + 8966988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207808879 + ... + 208289550.

Almost surely, 2100003432032144 is an apocalyptic number.

It is an amenable number.

100003432032144 is an abundant number, since it is smaller than the sum of its proper divisors (180034972342156).

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

100003432032144 is a wasteful number, since it uses less digits than its factorization.

100003432032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416100112 (or 416100103 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100003432032144 its reverse (441230234300001), we get a palindrome (541233666332145).

The spelling of 100003432032144 in words is "one hundred trillion, three billion, four hundred thirty-two million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1669 3338 5007 6676 10014 13352 15021 20028 26704 30042 40056 60084 80112 120168 240336 416098429 832196858 1248295287 1664393716 2496590574 3328787432 3744885861 4993181148 6657574864 7489771722 9986362296 14979543444 19972724592 29959086888 59918173776 694468278001 1388936556002 2083404834003 2777873112004 4166809668006 5555746224008 6250214502009 8333619336012 11111492448016 12500429004018 16667238672024 25000858008036 33334477344048 50001716016072 100003432032144