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2300032114400 = 25523356385661
BaseRepresentation
bin100001011110000100100…
…110001101111011100000
322010212210012012110101102
4201132010212031323200
5300140431210130100
64520341542253532
7325112640253406
oct41360446157340
98125705173342
102300032114400
11807490192109
123119181272a8
13138b79c28487
147d471d91476
153ec683d1cd5
hex2178498dee0

2300032114400 has 72 divisors (see below), whose sum is σ = 5615186245704. Its totient is φ = 919974694400.

The previous prime is 2300032114399. The next prime is 2300032114441. The reversal of 2300032114400 is 44112300032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26807570 + ... + 26893230.

It is an arithmetic number, because the mean of its divisors is an integer number (77988697857).

Almost surely, 22300032114400 is an apocalyptic number.

2300032114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300032114400 is an abundant number, since it is smaller than the sum of its proper divisors (3315154131304).

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

2300032114400 is a wasteful number, since it uses less digits than its factorization.

2300032114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119244 (or 119231 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2300032114400 its reverse (44112300032), we get a palindrome (2344144414432).

The spelling of 2300032114400 in words is "two trillion, three hundred billion, thirty-two million, one hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 33563 67126 85661 134252 167815 171322 268504 335630 342644 428305 537008 671260 685288 839075 856610 1074016 1342520 1370576 1678150 1713220 2141525 2685040 2741152 3356300 3426440 4283050 5370080 6712600 6852880 8566100 13425200 13705760 17132200 26850400 34264400 68528800 2875040143 5750080286 11500160572 14375200715 23000321144 28750401430 46000642288 57500802860 71876003575 92001284576 115001605720 143752007150 230003211440 287504014300 460006422880 575008028600 1150016057200 2300032114400