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73140714100 = 22526111990281
BaseRepresentation
bin100010000011110000…
…1101011101001110100
320222210022011020200001
41010013201223221310
52144243010322400
653333403201044
75166331545346
oct1040741535164
9228708136601
1073140714100
1129023032063
1212212816184
136b8802926c
14377bbab296
151d811eca6a
hex110786ba74

73140714100 has 36 divisors (see below), whose sum is σ = 161317254028. Its totient is φ = 28776672000.

The previous prime is 73140714091. The next prime is 73140714121. The reversal of 73140714100 is 141704137.

It can be written as a sum of positive squares in 6 ways, for example, as 692531856 + 72448182244 = 26316^2 + 269162^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5989041 + ... + 6001240.

Almost surely, 273140714100 is an apocalyptic number.

It is an amenable number.

73140714100 is an abundant number, since it is smaller than the sum of its proper divisors (88176539928).

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

73140714100 is a wasteful number, since it uses less digits than its factorization.

73140714100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11990356 (or 11990349 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 73140714100 in words is "seventy-three billion, one hundred forty million, seven hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 11990281 23980562 47961124 59951405 119902810 239805620 299757025 599514050 731407141 1199028100 1462814282 2925628564 3657035705 7314071410 14628142820 18285178525 36570357050 73140714100