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20425138237440 = 212325110813467
BaseRepresentation
bin1001010010011100110010…
…00110111111000000000000
32200022121212000001122120200
410221032121012333000000
510134121140342044230
6111235102354005200
74205444652303606
oct451163106770000
980277760048520
1020425138237440
116565286064282
12235a641576800
13b5210b999591
14508820cad876
1525648865b160
hex1293991bf000

20425138237440 has 156 divisors (see below), whose sum is σ = 70798503078264. Its totient is φ = 5446703480832.

The previous prime is 20425138237411. The next prime is 20425138237447. The reversal of 20425138237440 is 4473283152402.

20425138237440 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 513 + 8 + 23 + 74 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20425138237447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55222414 + ... + 55591053.

It is an arithmetic number, because the mean of its divisors is an integer number (453836558194).

Almost surely, 220425138237440 is an apocalyptic number.

20425138237440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20425138237440 is an abundant number, since it is smaller than the sum of its proper divisors (50373364840824).

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

20425138237440 is a wasteful number, since it uses less digits than its factorization.

20425138237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110813502 (or 110813477 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 20425138237440 in words is "twenty trillion, four hundred twenty-five billion, one hundred thirty-eight million, two hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 9216 10240 11520 12288 15360 18432 20480 23040 30720 36864 46080 61440 92160 184320 110813467 221626934 332440401 443253868 554067335 664880802 886507736 997321203 1108134670 1329761604 1662202005 1773015472 1994642406 2216269340 2659523208 3324404010 3546030944 3989284812 4432538680 4986606015 5319046416 6648808020 7092061888 7978569624 8865077360 9973212030 10638092832 13297616040 14184123776 15957139248 17730154720 19946424060 21276185664 26595232080 28368247552 31914278496 35460309440 39892848120 42552371328 53190464160 56736495104 63828556992 70920618880 79785696240 85104742656 106380928320 113472990208 127657113984 141841237760 159571392480 170209485312 212761856640 226945980416 255314227968 283682475520 319142784960 340418970624 425523713280 453891960832 510628455936 567364951040 638285569920 680837941248 851047426560 1021256911872 1134729902080 1276571139840 1361675882496 1702094853120 2042513823744 2269459804160 2553142279680 3404189706240 4085027647488 5106284559360 6808379412480 10212569118720 20425138237440