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20403314400 = 2535271214483
BaseRepresentation
bin10011000000001000…
…011101111011100000
31221122221102202121010
4103000020131323200
5313241222030100
613212333500520
71321420211430
oct230010357340
957587382533
1020403314400
118720159107
123b55041740
131c02109a01
14db7ab02c0
157e6386750
hex4c021dee0

20403314400 has 144 divisors (see below), whose sum is σ = 75900392064. Its totient is φ = 4663610880.

The previous prime is 20403314387. The next prime is 20403314401. The reversal of 20403314400 is 441330402.

It is a super-3 number, since 3×204033144003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20403314401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590442 + ... + 624041.

It is an arithmetic number, because the mean of its divisors is an integer number (527086056).

Almost surely, 220403314400 is an apocalyptic number.

20403314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20403314400 is an abundant number, since it is smaller than the sum of its proper divisors (55497077664).

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

20403314400 is a wasteful number, since it uses less digits than its factorization.

20403314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214513 (or 1214500 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20403314400 its reverse (441330402), we get a palindrome (20844644802).

The spelling of 20403314400 in words is "twenty billion, four hundred three million, three hundred fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 1214483 2428966 3643449 4857932 6072415 7286898 8501381 9715864 12144830 14573796 17002762 18217245 19431728 24289660 25504143 29147592 30362075 34005524 36434490 38863456 42506905 48579320 51008286 58295184 60724150 68011048 72868980 85013810 91086225 97158640 102016572 116590368 121448300 127520715 136022096 145737960 170027620 182172450 194317280 204033144 212534525 242896600 255041430 272044192 291475920 340055240 364344900 408066288 425069050 485793200 510082860 582951840 637603575 680110480 728689800 816132576 850138100 971586400 1020165720 1275207150 1360220960 1457379600 1700276200 2040331440 2550414300 2914759200 3400552400 4080662880 5100828600 6801104800 10201657200 20403314400