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12144400010405 = 513186836923237
BaseRepresentation
bin1011000010111001011010…
…1001100000110010100101
31120222222211010011200002222
42300232112221200302211
53042433212400313110
641455021011242125
72362255360602335
oct260562651406245
946888733150088
1012144400010405
113962458224983
1214417baba9345
136a129aa19520
142ddb137290c5
15160d8507dc55
hexb0b96a60ca5

12144400010405 has 8 divisors (see below), whose sum is σ = 15694301551992. Its totient is φ = 8968172315328.

The previous prime is 12144400010387. The next prime is 12144400010459. The reversal of 12144400010405 is 50401000444121.

It can be written as a sum of positive squares in 4 ways, for example, as 540069191236 + 11604330819169 = 734894^2 + 3406513^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12144400010405 - 210 = 12144400009381 is a prime.

It is a super-2 number, since 2×121444000104052 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93418461554 + ... + 93418461683.

It is an arithmetic number, because the mean of its divisors is an integer number (1961787693999).

Almost surely, 212144400010405 is an apocalyptic number.

It is an amenable number.

12144400010405 is a deficient number, since it is larger than the sum of its proper divisors (3549901541587).

12144400010405 is a wasteful number, since it uses less digits than its factorization.

12144400010405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186836923255.

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 12144400010405 its reverse (50401000444121), we get a palindrome (62545400454526).

The spelling of 12144400010405 in words is "twelve trillion, one hundred forty-four billion, four hundred million, ten thousand, four hundred five".

Divisors: 1 5 13 65 186836923237 934184616185 2428880002081 12144400010405