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215231591040 = 2735528121227
BaseRepresentation
bin1100100001110011001…
…1010111001010000000
3202120112212012200100220
43020130303113022000
512011243241403130
6242513115543040
721356432223654
oct3103463271200
9676485180326
10215231591040
1183308692a74
123586875aa80
13173b0b3373b
14a5bad8ca64
1558ea783410
hex321ccd7280

215231591040 has 128 divisors (see below), whose sum is σ = 686212931520. Its totient is φ = 57381519360.

The previous prime is 215231591011. The next prime is 215231591051. The reversal of 215231591040 is 40195132512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 215231590992 and 215231591010.

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, 10128907 + ... + 10150133.

Almost surely, 2215231591040 is an apocalyptic number.

215231591040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215231591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343106465760).

215231591040 is an abundant number, since it is smaller than the sum of its proper divisors (470981340480).

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

215231591040 is a wasteful number, since it uses less digits than its factorization.

215231591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26530 (or 26518 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 215231591040 in words is "two hundred fifteen billion, two hundred thirty-one million, five hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5281 10562 15843 21124 21227 26405 31686 42248 42454 52810 63372 63681 79215 84496 84908 105620 106135 126744 127362 158430 168992 169816 211240 212270 253488 254724 316860 318405 337984 339632 422480 424540 506976 509448 633720 636810 675968 679264 844960 849080 1013952 1018896 1267440 1273620 1358528 1689920 1698160 2027904 2037792 2534880 2547240 2717056 3379840 3396320 4075584 5069760 5094480 6792640 8151168 10139520 10188960 13585280 20377920 40755840 112099787 224199574 336299361 448399148 560498935 672598722 896798296 1120997870 1345197444 1681496805 1793596592 2241995740 2690394888 3362993610 3587193184 4483991480 5380789776 6725987220 7174386368 8967982960 10761579552 13451974440 14348772736 17935965920 21523159104 26903948880 35871931840 43046318208 53807897760 71743863680 107615795520 215231591040