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10040206435400 = 2352137089366193
BaseRepresentation
bin1001001000011010101011…
…1100000010010001001000
31022112211112020201210110102
42102012222330002101020
52303444320321413100
633204223540304532
72054244450404501
oct222065274022110
938484466653412
1010040206435400
113221033870029
121161a389a2148
1357aa30c092bb
14269d3ccb5ba8
1512627eb05cd5
hex921aaf02448

10040206435400 has 48 divisors (see below), whose sum is σ = 23343713988900. Its totient is φ = 4016042311680.

The previous prime is 10040206435313. The next prime is 10040206435417. The reversal of 10040206435400 is 453460204001.

It can be written as a sum of positive squares in 6 ways, for example, as 2870225542276 + 7169980893124 = 1694174^2 + 2677682^2 .

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, 27234704 + ... + 27600896.

Almost surely, 210040206435400 is an apocalyptic number.

10040206435400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040206435400 is an abundant number, since it is smaller than the sum of its proper divisors (13303507553500).

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

10040206435400 is a wasteful number, since it uses less digits than its factorization.

10040206435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503298 (or 503289 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 10040206435400 its reverse (453460204001), we get a palindrome (10493666639401).

The spelling of 10040206435400 in words is "ten trillion, forty billion, two hundred six million, four hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 137089 274178 366193 548356 685445 732386 1096712 1370890 1464772 1830965 2741780 2929544 3427225 3661930 5483560 6854450 7323860 9154825 13708900 14647720 18309650 27417800 36619300 73238600 50201032177 100402064354 200804128708 251005160885 401608257416 502010321770 1004020643540 1255025804425 2008041287080 2510051608850 5020103217700 10040206435400