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14064132524240 = 2451733101443541
BaseRepresentation
bin1100110010101000111110…
…0111111000100011010000
31211210111222120120202001002
43030222033213320203100
53320411320411233430
645524550121401132
72651046212664641
oct314521747704320
954714876522032
1014064132524240
114532624182337
1216b18816391a8
137b031b8c3246
143689c9ad16c8
15195c91352845
hexcca8f9f88d0

14064132524240 has 40 divisors (see below), whose sum is σ = 32717976940008. Its totient is φ = 5622406760960.

The previous prime is 14064132524227. The next prime is 14064132524249. The reversal of 14064132524240 is 4242523146041.

14064132524240 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 4 ways, for example, as 3852436624 + 14060280087616 = 62068^2 + 3749704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×140641325242403 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14064132524194 and 14064132524203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14064132524249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50583131 + ... + 50860410.

Almost surely, 214064132524240 is an apocalyptic number.

14064132524240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14064132524240 is an abundant number, since it is smaller than the sum of its proper divisors (18653844415768).

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

14064132524240 is a wasteful number, since it uses less digits than its factorization.

14064132524240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101445287 (or 101445281 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 14064132524240 in words is "fourteen trillion, sixty-four billion, one hundred thirty-two million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1733 3466 6932 8665 13864 17330 27728 34660 69320 138640 101443541 202887082 405774164 507217705 811548328 1014435410 1623096656 2028870820 4057741640 8115483280 175801656553 351603313106 703206626212 879008282765 1406413252424 1758016565530 2812826504848 3516033131060 7032066262120 14064132524240