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1002230214040 = 2351112253185897
BaseRepresentation
bin11101001010110011001…
…00110110110110011000
310112210221010222001000001
432211121210312312120
5112410031413322130
62044230155422344
7132260125154536
oct16453144666630
93483833861001
101002230214040
113570529117a0
121422a4a549b4
1373682348713
143671870b156
151b10c4506ca
hexe959936d98

1002230214040 has 64 divisors (see below), whose sum is σ = 2460233619360. Its totient is φ = 364415646720.

The previous prime is 1002230214023. The next prime is 1002230214053. The reversal of 1002230214040 is 404120322001.

It is a junction number, because it is equal to n+sod(n) for n = 1002230213999 and 1002230214017.

It is a congruent number.

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, 5298372 + ... + 5484268.

Almost surely, 21002230214040 is an apocalyptic number.

1002230214040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002230214040 is an abundant number, since it is smaller than the sum of its proper divisors (1458003405320).

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

1002230214040 is a wasteful number, since it uses less digits than its factorization.

1002230214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198172 (or 198168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1002230214040 its reverse (404120322001), we get a palindrome (1406350536041).

The spelling of 1002230214040 in words is "one trillion, two billion, two hundred thirty million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 12253 24506 49012 61265 98024 122530 134783 185897 245060 269566 371794 490120 539132 673915 743588 929485 1078264 1347830 1487176 1858970 2044867 2695660 3717940 4089734 5391320 7435880 8179468 10224335 16358936 20448670 40897340 81794680 2277795941 4555591882 9111183764 11388979705 18222367528 22777959410 25055755351 45555918820 50111510702 91111837640 100223021404 125278776755 200446042808 250557553510 501115107020 1002230214040