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14119568136 = 233450343319
BaseRepresentation
bin11010010011001011…
…11000001100001000
31100110000110101020000
431021211320030020
5212404102140021
610253023203000
71006616230452
oct151145701410
940400411200
1014119568136
115a96145583
1228a0746460
13144031435b
1497d31d2d2
155798a0b26
hex349978308

14119568136 has 80 divisors (see below), whose sum is σ = 39627403200. Its totient is φ = 4697057376.

The previous prime is 14119568131. The next prime is 14119568159. The reversal of 14119568136 is 63186591141.

14119568136 is a `hidden beast` number, since 1 + 41 + 19 + 568 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14119568091 and 14119568100.

It is not an unprimeable number, because it can be changed into a prime (14119568131) 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, 304285 + ... + 347603.

It is an arithmetic number, because the mean of its divisors is an integer number (495342540).

Almost surely, 214119568136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14119568136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813701600).

14119568136 is an abundant number, since it is smaller than the sum of its proper divisors (25507835064).

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

14119568136 is a wasteful number, since it uses less digits than its factorization.

14119568136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43840 (or 43827 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 14119568136 in words is "fourteen billion, one hundred nineteen million, five hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 503 648 1006 1509 2012 3018 4024 4527 6036 9054 12072 13581 18108 27162 36216 40743 43319 54324 81486 86638 108648 129957 162972 173276 259914 325944 346552 389871 519828 779742 1039656 1169613 1559484 2339226 3118968 3508839 4678452 7017678 9356904 14035356 21789457 28070712 43578914 65368371 87157828 130736742 174315656 196105113 261473484 392210226 522946968 588315339 784420452 1176630678 1568840904 1764946017 2353261356 3529892034 4706522712 7059784068 14119568136