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134323151512400 = 2452797421339873
BaseRepresentation
bin11110100010101010001011…
…101110110010001101010000
3122121121011112101021200222022
4132202222023232302031100
5120101222303241344100
61153403112014231012
740202345625226034
oct3642521356621520
9577534471250868
10134323151512400
1139888146260014
12130948877b5468
1359c4807779a86
1425253bd2cc1c4
15107e0c049ee85
hex7a2a8bbb2350

134323151512400 has 60 divisors (see below), whose sum is σ = 323116279893372. Its totient is φ = 53661846097920.

The previous prime is 134323151512349. The next prime is 134323151512423. The reversal of 134323151512400 is 4215151323431.

It can be written as a sum of positive squares in 6 ways, for example, as 27953384113216 + 106369767399184 = 5287096^2 + 10313572^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210351137 + ... + 210988736.

Almost surely, 2134323151512400 is an apocalyptic number.

134323151512400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134323151512400 is an abundant number, since it is smaller than the sum of its proper divisors (188793128380972).

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

134323151512400 is a wasteful number, since it uses less digits than its factorization.

134323151512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421340688 (or 421340677 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 134323151512400 in words is "one hundred thirty-four trillion, three hundred twenty-three billion, one hundred fifty-one million, five hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 797 1594 3188 3985 6376 7970 12752 15940 19925 31880 39850 63760 79700 159400 318800 421339873 842679746 1685359492 2106699365 3370718984 4213398730 6741437968 8426797460 10533496825 16853594920 21066993650 33707189840 42133987300 84267974600 168535949200 335807878781 671615757562 1343231515124 1679039393905 2686463030248 3358078787810 5372926060496 6716157575620 8395196969525 13432315151240 16790393939050 26864630302480 33580787878100 67161575756200 134323151512400