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414004033140996 = 223648110193522251
BaseRepresentation
bin101111000100010001101001…
…1010101001011100100000100
32000021212101202220020212020210
41132020203103111023210010
5413231020224441002441
64024302454402155420
7153126542612406444
oct13610432325134404
92007771686225223
10414004033140996
1110aa07140710861
123a524909052b70
1314a01549c27c5c
147433c8b5b6124
1532ce2dd14b616
hex17888d354b904

414004033140996 has 48 divisors (see below), whose sum is σ = 966255099824448. Its totient is φ = 137966250240000.

The previous prime is 414004033140983. The next prime is 414004033141019. The reversal of 414004033140996 is 699041330400414.

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, 792468871 + ... + 792991121.

It is an arithmetic number, because the mean of its divisors is an integer number (20130314579676).

Almost surely, 2414004033140996 is an apocalyptic number.

It is an amenable number.

414004033140996 is an abundant number, since it is smaller than the sum of its proper divisors (552251066683452).

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

414004033140996 is a wasteful number, since it uses less digits than its factorization.

414004033140996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538932 (or 538930 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 414004033140996 in words is "four hundred fourteen trillion, four billion, thirty-three million, one hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 6481 10193 12962 19443 20386 25924 30579 38886 40772 61158 77772 122316 522251 1044502 1566753 2089004 3133506 6267012 66060833 132121666 198182499 264243332 396364998 792729996 3384708731 5323304443 6769417462 10154126193 10646608886 13538834924 15969913329 20308252386 21293217772 31939826658 40616504772 63879653316 34500336095083 69000672190166 103501008285249 138001344380332 207002016570498 414004033140996