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14032344134430 = 23252918792861297
BaseRepresentation
bin1100110000110010100011…
…1000110011001100011110
31211200110221012010020001100
43030030220320303030132
53314401220044300210
645502211522053530
72645542366065426
oct314145070631436
954613835106040
1014032344134430
1145200a14945a6
1216a768b7aa2a6
137aa323b7482b
14367251d53486
151950307155c0
hexcc328e3331e

14032344134430 has 96 divisors (see below), whose sum is σ = 37762266484800. Its totient is φ = 3611001332736.

The previous prime is 14032344134429. The next prime is 14032344134437. The reversal of 14032344134430 is 3443144323041.

14032344134430 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 234 + 413 + 4 + 4 + 3 + 0 = 666.

It is a super-2 number, since 2×140323441344302 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14032344134437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3473542 + ... + 6334838.

It is an arithmetic number, because the mean of its divisors is an integer number (393356942550).

Almost surely, 214032344134430 is an apocalyptic number.

14032344134430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14032344134430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18881133242400).

14032344134430 is an abundant number, since it is smaller than the sum of its proper divisors (23729922350370).

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

14032344134430 is a wasteful number, since it uses less digits than its factorization.

14032344134430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863218 (or 2863215 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 14032344134430 its reverse (3443144323041), we get a palindrome (17475488457471).

The spelling of 14032344134430 in words is "fourteen trillion, thirty-two billion, three hundred forty-four million, one hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 1879 2610 3758 5637 9395 11274 16911 18790 28185 33822 54491 56370 84555 108982 163473 169110 272455 326946 490419 544910 817365 980838 1634730 2452095 2861297 4904190 5722594 8583891 14306485 17167782 25751673 28612970 42919455 51503346 82977613 85838910 128758365 165955226 248932839 257516730 414888065 497865678 746798517 829776130 1244664195 1493597034 2489328390 3733992585 5376377063 7467985170 10752754126 16129131189 26881885315 32258262378 48387393567 53763770630 80645655945 96774787134 155914934827 161291311890 241936967835 311829869654 467744804481 483873935670 779574674135 935489608962 1403234413443 1559149348270 2338724022405 2806468826886 4677448044810 7016172067215 14032344134430