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21270205040 = 245741579137
BaseRepresentation
bin10011110011110011…
…011001001001110000
32000220100122100222212
4103303303121021300
5322030133030130
613434342151252
71352044521410
oct236363311160
960810570885
1021270205040
119025526957
124157422528
13200c8b0056
14105ac8c640
15847522e95
hex4f3cd9270

21270205040 has 80 divisors (see below), whose sum is σ = 56537756352. Its totient is φ = 7290089472.

The previous prime is 21270205037. The next prime is 21270205051. The reversal of 21270205040 is 4050207212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21270204997 and 21270205015.

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, 2323352 + ... + 2332488.

Almost surely, 221270205040 is an apocalyptic number.

21270205040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21270205040 is an abundant number, since it is smaller than the sum of its proper divisors (35267551312).

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

21270205040 is a wasteful number, since it uses less digits than its factorization.

21270205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13314 (or 13308 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The spelling of 21270205040 in words is "twenty-one billion, two hundred seventy million, two hundred five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4157 8314 9137 16628 18274 20785 29099 33256 36548 41570 45685 58198 63959 66512 73096 83140 91370 116396 127918 145495 146192 166280 182740 232792 255836 290990 319795 332560 365480 465584 511672 581980 639590 730960 1023344 1163960 1279180 2327920 2558360 5116720 37982509 75965018 151930036 189912545 265877563 303860072 379825090 531755126 607720144 759650180 1063510252 1329387815 1519300360 2127020504 2658775630 3038600720 4254041008 5317551260 10635102520 21270205040