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134411041432400 = 2452929336159217
BaseRepresentation
bin11110100011111100000010…
…011000001110001101010000
3122121220120101120200020111112
4132203330002120032031100
5120104142303101314100
61153511325140232452
740211606623223615
oct3643740230161520
9577816346606445
10134411041432400
1139911447888837
12130a991599b728
1359ccba33920b5
142529759c7850c
151081516472b35
hex7a3f0260e350

134411041432400 has 60 divisors (see below), whose sum is σ = 322957284980412. Its totient is φ = 53758629611520.

The previous prime is 134411041432399. The next prime is 134411041432457. The reversal of 134411041432400 is 4234140114431.

It can be written as a sum of positive squares in 6 ways, for example, as 38698004275984 + 95713037156416 = 6220772^2 + 9783304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14362409 + ... + 21796808.

Almost surely, 2134411041432400 is an apocalyptic number.

134411041432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134411041432400 is an abundant number, since it is smaller than the sum of its proper divisors (188546243548012).

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

134411041432400 is a wasteful number, since it uses less digits than its factorization.

134411041432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36168528 (or 36168517 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 134411041432400 its reverse (4234140114431), we get a palindrome (138645181546831).

The spelling of 134411041432400 in words is "one hundred thirty-four trillion, four hundred eleven billion, forty-one million, four hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 9293 18586 37172 46465 74344 92930 148688 185860 232325 371720 464650 743440 929300 1858600 3717200 36159217 72318434 144636868 180796085 289273736 361592170 578547472 723184340 903980425 1446368680 1807960850 2892737360 3615921700 7231843400 14463686800 336027603581 672055207162 1344110414324 1680138017905 2688220828648 3360276035810 5376441657296 6720552071620 8400690089525 13441104143240 16801380179050 26882208286480 33602760358100 67205520716200 134411041432400