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134171433198900 = 22345234994734031
BaseRepresentation
bin11110100000011100111000…
…100111010110010100110100
3122121001122220212111211010000
4132200130320213112110310
5120041231043344331100
61153205301104231300
740155365122646316
oct3640347047262464
9577048825454100
10134171433198900
1139829870220569
121306b3a560b530
1359b340920b486
14251bd096497b6
15107a190b00900
hex7a07389d6534

134171433198900 has 180 divisors, whose sum is σ = 435055173784000. Its totient is φ = 35768815790400.

The previous prime is 134171433198871. The next prime is 134171433198937. The reversal of 134171433198900 is 9891334171431.

It is a happy number.

134171433198900 is a `hidden beast` number, since 1 + 3 + 4 + 17 + 1 + 433 + 198 + 9 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1341714331989002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 25974885 + ... + 30708915.

Almost surely, 2134171433198900 is an apocalyptic number.

134171433198900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134171433198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217527586892000).

134171433198900 is an abundant number, since it is smaller than the sum of its proper divisors (300883740585100).

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

134171433198900 is a wasteful number, since it uses less digits than its factorization.

134171433198900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737556 (or 4737540 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 134171433198900 in words is "one hundred thirty-four trillion, one hundred seventy-one billion, four hundred thirty-three million, one hundred ninety-eight thousand, nine hundred".