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13434751000 = 2353112111031
BaseRepresentation
bin11001000001100011…
…00000100000011000
31021200021212001201101
430200301200200120
5210003244013000
610101041201144
7653632333156
oct144061404030
937607761641
1013434751000
115774626300
12272b3301b4
13136148c908
149163b83d6
155396cbe6a
hex320c60818

13434751000 has 96 divisors (see below), whose sum is σ = 34555379040. Its totient is φ = 4885320000.

The previous prime is 13434750991. The next prime is 13434751003. The reversal of 13434751000 is 15743431.

It is a self number, because there is not a number n which added to its sum of digits gives 13434751000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434751003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65485 + ... + 176515.

It is an arithmetic number, because the mean of its divisors is an integer number (359951865).

Almost surely, 213434751000 is an apocalyptic number.

13434751000 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 13434751000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17277689520).

13434751000 is an abundant number, since it is smaller than the sum of its proper divisors (21120628040).

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

13434751000 is a wasteful number, since it uses less digits than its factorization.

13434751000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111074 (or 111049 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 13434751000 in words is "thirteen billion, four hundred thirty-four million, seven hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 111031 121000 222062 444124 555155 888248 1110310 1221341 2220620 2442682 2775775 4441240 4885364 5551550 6106705 9770728 11103100 12213410 13434751 13878875 22206200 24426820 26869502 27757750 30533525 48853640 53739004 55515500 61067050 67173755 107478008 111031000 122134100 134347510 152667625 244268200 268695020 305335250 335868775 537390040 610670500 671737550 1221341000 1343475100 1679343875 2686950200 3358687750 6717375500 13434751000