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420420140400 = 243521326950009
BaseRepresentation
bin1100001111000101111…
…11100011110101110000
31111012011210122222112010
412013202333203311300
523342010023443100
6521045514402520
742242255142021
oct6074277436560
91435153588463
10420420140400
11152332233097
1269591a30440
1330851089860
14164c41b2c48
15ae094a5750
hex61e2fe3d70

420420140400 has 120 divisors (see below), whose sum is σ = 1450341738160. Its totient is φ = 103488030720.

The previous prime is 420420140383. The next prime is 420420140401. The reversal of 420420140400 is 4041024024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420420140401) 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, 13459405 + ... + 13490604.

Almost surely, 2420420140400 is an apocalyptic number.

420420140400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420420140400 is an abundant number, since it is smaller than the sum of its proper divisors (1029921597760).

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

420420140400 is a wasteful number, since it uses less digits than its factorization.

420420140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26950043 (or 26950032 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 420420140400 its reverse (4041024024), we get a palindrome (424461164424).

The spelling of 420420140400 in words is "four hundred twenty billion, four hundred twenty million, one hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 26950009 53900018 80850027 107800036 134750045 161700054 215600072 269500090 323400108 350350117 404250135 431200144 539000180 646800216 673750225 700700234 808500270 1051050351 1078000360 1293600432 1347500450 1401400468 1617000540 1751750585 2021250675 2102100702 2156000720 2695000900 2802800936 3234001080 3503501170 4042501350 4204201404 5255251755 5390001800 5605601872 6468002160 7007002340 8085002700 8408402808 8758752925 10510503510 10780003600 14014004680 16170005400 16816805616 17517505850 21021007020 26276258775 28028009360 32340010800 35035011700 42042014040 52552517550 70070023400 84084028080 105105035100 140140046800 210210070200 420420140400