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4313350400000 = 21155673961
BaseRepresentation
bin111110110001000111101…
…101111110100000000000
3120021100111210202022120112
4332301013231332200000
51031132220200300000
613101305324330452
7623425562314445
oct76610755764000
916240453668515
104313350400000
111413310940aa4
12597b583a3a28
132539937922c5
1410caa557d9cc
1577300733235
hex3ec47b7e800

4313350400000 has 144 divisors (see below), whose sum is σ = 10780069367340. Its totient is φ = 1725337600000.

The previous prime is 4313350399997. The next prime is 4313350400027. The reversal of 4313350400000 is 40533134.

4313350400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1989408695296 + 2323941704704 = 1410464^2 + 1524448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6063020 + ... + 6736980.

Almost surely, 24313350400000 is an apocalyptic number.

4313350400000 is a gapful number since it is divisible by the number (40) 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 4313350400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390034683670).

4313350400000 is an abundant number, since it is smaller than the sum of its proper divisors (6466718967340).

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

4313350400000 is an frugal number, since it uses more digits than its factorization.

4313350400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674008 (or 673968 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 4313350400000 its reverse (40533134), we get a palindrome (4313390933134).

The spelling of 4313350400000 in words is "four trillion, three hundred thirteen billion, three hundred fifty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 10240 12500 12800 16000 20000 25000 25600 32000 40000 50000 51200 64000 80000 100000 128000 160000 200000 256000 320000 400000 640000 673961 800000 1280000 1347922 1600000 2695844 3200000 3369805 5391688 6400000 6739610 10783376 13479220 16849025 21566752 26958440 33698050 43133504 53916880 67396100 84245125 86267008 107833760 134792200 168490250 172534016 215667520 269584400 336980500 345068032 421225625 431335040 539168800 673961000 690136064 842451250 862670080 1078337600 1347922000 1380272128 1684902500 1725340160 2106128125 2156675200 2695844000 3369805000 3450680320 4212256250 4313350400 5391688000 6739610000 6901360640 8424512500 8626700800 10783376000 13479220000 16849025000 17253401600 21566752000 26958440000 33698050000 34506803200 43133504000 53916880000 67396100000 86267008000 107833760000 134792200000 172534016000 215667520000 269584400000 431335040000 539168800000 862670080000 1078337600000 2156675200000 4313350400000