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120341040400 = 2452726139849
BaseRepresentation
bin111000000010011100…
…0101000110100010000
3102111121202220020222101
41300010320220310100
53432424301243100
6131141154050144
711460106652200
oct1600470506420
9374552806871
10120341040400
114704441a899
121b3a5b79954
13b46aa54419
145b78760400
1531e4dbe86a
hex1c04e28d10

120341040400 has 90 divisors (see below), whose sum is σ = 336322563450. Its totient is φ = 41259778560.

The previous prime is 120341040319. The next prime is 120341040403. The reversal of 120341040400 is 4040143021.

It can be written as a sum of positive squares in 3 ways, for example, as 433972224 + 119907068176 = 20832^2 + 346276^2 .

It is not an unprimeable number, because it can be changed into a prime (120341040403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3050325 + ... + 3089524.

Almost surely, 2120341040400 is an apocalyptic number.

120341040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120341040400 is an abundant number, since it is smaller than the sum of its proper divisors (215981523050).

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

120341040400 is a wasteful number, since it uses less digits than its factorization.

120341040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139881 (or 6139863 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 120341040400 its reverse (4040143021), we get a palindrome (124381183421).

The spelling of 120341040400 in words is "one hundred twenty billion, three hundred forty-one million, forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 6139849 12279698 24559396 30699245 42978943 49118792 61398490 85957886 98237584 122796980 153496225 171915772 214894715 245593960 300852601 306992450 343831544 429789430 491187920 601705202 613984900 687663088 859578860 1074473575 1203410404 1227969800 1504263005 1719157720 2148947150 2406820808 2455939600 3008526010 3438315440 4297894300 4813641616 6017052020 7521315025 8595788600 12034104040 15042630050 17191577200 24068208080 30085260100 60170520200 120341040400