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13855388040 = 2333513986851
BaseRepresentation
bin11001110011101100…
…00111000110001000
31022202121100122021000
430321312013012020
5211333434404130
610210505015000
71000230566214
oct147166070610
938677318230
1013855388040
11597000711a
122828184460
1313ca678580
149561d1944
155615ba260
hex339d87188

13855388040 has 128 divisors (see below), whose sum is σ = 49737340800. Its totient is φ = 3410553600.

The previous prime is 13855388021. The next prime is 13855388047. The reversal of 13855388040 is 4088355831.

13855388040 is a `hidden beast` number, since 1 + 38 + 5 + 538 + 80 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13855388047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479386 + ... + 507465.

It is an arithmetic number, because the mean of its divisors is an integer number (388572975).

Almost surely, 213855388040 is an apocalyptic number.

13855388040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13855388040 is an abundant number, since it is smaller than the sum of its proper divisors (35881952760).

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

13855388040 is a wasteful number, since it uses less digits than its factorization.

13855388040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986884 (or 986874 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 13855388040 in words is "thirteen billion, eight hundred fifty-five million, three hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 986851 1973702 2960553 3947404 4934255 5921106 7894808 8881659 9868510 11842212 12829063 14802765 17763318 19737020 23684424 25658126 26644977 29605530 35526636 38487189 39474040 44408295 51316252 53289954 59211060 64145315 71053272 76974378 88816590 102632504 106579908 115461567 118422120 128290630 133224885 153948756 177633180 192435945 213159816 230923134 256581260 266449770 307897512 346384701 355266360 384871890 461846268 513162520 532899540 577307835 692769402 769743780 923692536 1065799080 1154615670 1385538804 1539487560 1731923505 2309231340 2771077608 3463847010 4618462680 6927694020 13855388040