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14540430336 = 210313734549
BaseRepresentation
bin11011000101010110…
…10101110000000000
31101112100101101121220
431202223111300000
5214234322232321
610402455515040
71023216422115
oct154253256000
941470341556
1014540430336
11619176a583
122999688a80
1314a957b643
149bd19490c
155a17d59c6
hex362ad5c00

14540430336 has 88 divisors (see below), whose sum is σ = 39039565200. Its totient is φ = 4811292672.

The previous prime is 14540430323. The next prime is 14540430343. The reversal of 14540430336 is 63303404541.

It is a super-2 number, since 2×145404303362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14540430297 and 14540430306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403590 + ... + 438138.

Almost surely, 214540430336 is an apocalyptic number.

14540430336 is a gapful number since it is divisible by the number (16) 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 14540430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19519782600).

14540430336 is an abundant number, since it is smaller than the sum of its proper divisors (24499134864).

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

14540430336 is a wasteful number, since it uses less digits than its factorization.

14540430336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34709 (or 34691 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 14540430336 its reverse (63303404541), we get a palindrome (77843834877).

The spelling of 14540430336 in words is "fourteen billion, five hundred forty million, four hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 512 548 768 822 1024 1096 1536 1644 2192 3072 3288 4384 6576 8768 13152 17536 26304 34549 35072 52608 69098 70144 103647 105216 138196 140288 207294 210432 276392 414588 420864 552784 829176 1105568 1658352 2211136 3316704 4422272 4733213 6633408 8844544 9466426 13266816 14199639 17689088 18932852 26533632 28399278 35378176 37865704 53067264 56798556 75731408 106134528 113597112 151462816 227194224 302925632 454388448 605851264 908776896 1211702528 1817553792 2423405056 3635107584 4846810112 7270215168 14540430336