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14243434000000 = 27567121717
BaseRepresentation
bin1100111101000100111011…
…0100101110111010000000
31212102122210101221110011121
43033101032310232322000
53331331023101000000
650143202050322024
73000024400251142
oct317211664567200
955378711843147
1014243434000000
1145a1674192957
121720581289314
137c41c48c402a
14373558c18c92
1519a78757ab1a
hexcf44ed2ee80

14243434000000 has 112 divisors (see below), whose sum is σ = 35469039935790. Its totient is φ = 5697372800000.

The previous prime is 14243433999943. The next prime is 14243434000043. The reversal of 14243434000000 is 43434241.

14243434000000 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 7 ways, for example, as 2924838766656 + 11318595233344 = 1710216^2 + 3364312^2 .

It is a super-2 number, since 2×142434340000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1560859 + ... + 5560858.

Almost surely, 214243434000000 is an apocalyptic number.

14243434000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14243434000000 is an abundant number, since it is smaller than the sum of its proper divisors (21225605935790).

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

14243434000000 is an frugal number, since it uses more digits than its factorization.

14243434000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121761 (or 7121724 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 14243434000000 its reverse (43434241), we get a palindrome (14243477434241).

The spelling of 14243434000000 in words is "fourteen trillion, two hundred forty-three billion, four hundred thirty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 7121717 14243434 28486868 35608585 56973736 71217170 113947472 142434340 178042925 227894944 284868680 356085850 455789888 569737360 712171700 890214625 911579776 1139474720 1424343400 1780429250 2278949440 2848686800 3560858500 4451073125 4557898880 5697373600 7121717000 8902146250 11394747200 14243434000 17804292500 22255365625 22789494400 28486868000 35608585000 44510731250 56973736000 71217170000 89021462500 111276828125 113947472000 142434340000 178042925000 222553656250 284868680000 356085850000 445107312500 569737360000 712171700000 890214625000 1424343400000 1780429250000 2848686800000 3560858500000 7121717000000 14243434000000