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14324355253124 = 22747753192377
BaseRepresentation
bin1101000001110010011000…
…0110110100001110000100
31212201101122221120000212122
43100130212012310032010
53334142234421044444
650244303513505112
73005620606460000
oct320344606641604
955641587500778
1014324355253124
114622a1a118054
1217341a5712198
137cba1c854127
14377434083700
1519c9218734ee
hexd07261b4384

14324355253124 has 60 divisors (see below), whose sum is σ = 29247742528284. Its totient is φ = 6138185663232.

The previous prime is 14324355253123. The next prime is 14324355253141. The reversal of 14324355253124 is 42135255342341.

It can be written as a sum of positive squares in 2 ways, for example, as 12579208571524 + 1745146681600 = 3546718^2 + 1321040^2 .

It is a super-2 number, since 2×143243552531242 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14324355253123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74363624 + ... + 74556000.

Almost surely, 214324355253124 is an apocalyptic number.

14324355253124 is a gapful number since it is divisible by the number (14) 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 14324355253124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623871264142).

14324355253124 is an abundant number, since it is smaller than the sum of its proper divisors (14923387275160).

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

14324355253124 is an equidigital number, since it uses as much as digits as its factorization.

14324355253124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200162 (or 200139 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 44.

The spelling of 14324355253124 in words is "fourteen trillion, three hundred twenty-four billion, three hundred fifty-five million, two hundred fifty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 7753 9604 15506 31012 54271 108542 192377 217084 379897 384754 759794 769508 1346639 1519588 2659279 2693278 5318558 5386556 9426473 10637116 18614953 18852946 37229906 37705892 65985311 74459812 131970622 263941244 461897177 923794354 1491498881 1847588708 2982997762 5965995524 10440492167 20880984334 41761968668 73083445169 146166890338 292333780676 511584116183 1023168232366 2046336464732 3581088813281 7162177626562 14324355253124