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14159202192 = 2433196725747
BaseRepresentation
bin11010010111111010…
…00100011110010000
31100112210000222221000
431023331010132100
5212444223432232
610301000502000
71010610142602
oct151375043620
940483028830
1014159202192
1160065561a3
1228b1a7a900
1314485b0465
149846b9172
1557d0ce27c
hex34bf44790

14159202192 has 160 divisors (see below), whose sum is σ = 43421427200. Its totient is φ = 4404419712.

The previous prime is 14159202191. The next prime is 14159202257. The reversal of 14159202192 is 29120295141.

14159202192 is a `hidden beast` number, since 1 + 41 + 592 + 0 + 21 + 9 + 2 = 666.

14159202192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14159202191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537063 + ... + 562809.

It is an arithmetic number, because the mean of its divisors is an integer number (271383920).

Almost surely, 214159202192 is an apocalyptic number.

14159202192 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 14159202192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21710713600).

14159202192 is an abundant number, since it is smaller than the sum of its proper divisors (29262225008).

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

14159202192 is a wasteful number, since it uses less digits than its factorization.

14159202192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25850 (or 25838 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 14159202192 in words is "fourteen billion, one hundred fifty-nine million, two hundred two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 67 72 76 108 114 134 144 152 171 201 216 228 268 304 342 402 432 456 513 536 603 684 804 912 1026 1072 1206 1273 1368 1608 1809 2052 2412 2546 2736 3216 3618 3819 4104 4824 5092 7236 7638 8208 9648 10184 11457 14472 15276 20368 22914 25747 28944 30552 34371 45828 51494 61104 68742 77241 91656 102988 137484 154482 183312 205976 231723 274968 308964 411952 463446 489193 549936 617928 695169 926892 978386 1235856 1390338 1467579 1725049 1853784 1956772 2780676 2935158 3450098 3707568 3913544 4402737 5175147 5561352 5870316 6900196 7827088 8805474 10350294 11122704 11740632 13208211 13800392 15525441 17610948 20700588 23481264 26416422 27600784 31050882 32775931 35221896 41401176 46576323 52832844 62101764 65551862 70443792 82802352 93152646 98327793 105665688 124203528 131103724 186305292 196655586 211331376 248407056 262207448 294983379 372610584 393311172 524414896 589966758 745221168 786622344 884950137 1179933516 1573244688 1769900274 2359867032 3539800548 4719734064 7079601096 14159202192