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14113234035552 = 2531991438751349
BaseRepresentation
bin1100110101011111111001…
…0011010010001101100000
31211222012201112201221220010
43031113332103102031200
53322212400403114202
650003310305244520
72654435044645101
oct315277623221540
954865645657803
1014113234035552
114551430755553
1216bb2a5633740
137b4b45478452
1436b126d7a3a8
151971b6db876c
hexcd5fe4d2360

14113234035552 has 96 divisors (see below), whose sum is σ = 37236719520000. Its totient is φ = 4680354590208.

The previous prime is 14113234035533. The next prime is 14113234035577. The reversal of 14113234035552 is 25553043231141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×141132340355523 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14113234035552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274823574 + ... + 274874922.

It is an arithmetic number, because the mean of its divisors is an integer number (387882495000).

Almost surely, 214113234035552 is an apocalyptic number.

14113234035552 is a gapful number since it is divisible by the number (12) 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 14113234035552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618359760000).

14113234035552 is an abundant number, since it is smaller than the sum of its proper divisors (23123485484448).

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

14113234035552 is a wasteful number, since it uses less digits than its factorization.

14113234035552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65948 (or 65940 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 14113234035552 its reverse (25553043231141), we get a palindrome (39666277266693).

The spelling of 14113234035552 in words is "fourteen trillion, one hundred thirteen billion, two hundred thirty-four million, thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 4776 6368 9552 14387 19104 28774 43161 51349 57548 86322 102698 115096 154047 172644 205396 230192 308094 345288 410792 460384 616188 690576 821584 1232376 1381152 1643168 2464752 2863013 4929504 5726026 8589039 10218451 11452052 17178078 20436902 22904104 30655353 34356156 40873804 45808208 61310706 68712312 81747608 91616416 122621412 137424624 163495216 245242824 274849248 326990432 490485648 738758063 980971296 1477516126 2216274189 2955032252 4432548378 5910064504 8865096756 11820129008 17730193512 23640258016 35460387024 70920774048 147012854537 294025709074 441038563611 588051418148 882077127222 1176102836296 1764154254444 2352205672592 3528308508888 4704411345184 7056617017776 14113234035552