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14532304140 = 22325177166889
BaseRepresentation
bin11011000100011000…
…10101110100001100
31101111210002112120200
431202030111310030
5214230232213030
610402005413500
71023060355434
oct154214256414
941453075520
1014532304140
11618811a212
122996a0a290
1314a7994943
149bc07b2c4
155a0c2cd60
hex362315d0c

14532304140 has 144 divisors (see below), whose sum is σ = 47332434240. Its totient is φ = 3595898880.

The previous prime is 14532304091. The next prime is 14532304141. The reversal of 14532304140 is 4140323541.

It is a happy number.

14532304140 is a `hidden beast` number, since 14 + 5 + 3 + 230 + 414 + 0 = 666.

It is a super-2 number, since 2×145323041402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14532304141) 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, 183816 + ... + 250704.

It is an arithmetic number, because the mean of its divisors is an integer number (328697460).

Almost surely, 214532304140 is an apocalyptic number.

14532304140 is a gapful number since it is divisible by the number (10) 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 14532304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23666217120).

14532304140 is an abundant number, since it is smaller than the sum of its proper divisors (32800130100).

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

14532304140 is a wasteful number, since it uses less digits than its factorization.

14532304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66992 (or 66987 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14532304140 its reverse (4140323541), we get a palindrome (18672627681).

The spelling of 14532304140 in words is "fourteen billion, five hundred thirty-two million, three hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 71 85 90 102 142 153 170 180 204 213 255 284 306 340 355 426 510 612 639 710 765 852 1020 1065 1207 1278 1420 1530 2130 2414 2556 3060 3195 3621 4260 4828 6035 6390 7242 10863 12070 12780 14484 18105 21726 24140 36210 43452 54315 66889 72420 108630 133778 200667 217260 267556 334445 401334 602001 668890 802668 1003335 1137113 1204002 1337780 2006670 2274226 2408004 3010005 3411339 4013340 4548452 4749119 5685565 6020010 6822678 9498238 10234017 11371130 12040020 13645356 14247357 17056695 18996476 20468034 22742260 23745595 28494714 34113390 40936068 42742071 47491190 51170085 56989428 68226780 71236785 80735023 85484142 94982380 102340170 142473570 161470046 170968284 204680340 213710355 242205069 284947140 322940092 403675115 427420710 484410138 726615207 807350230 854841420 968820276 1211025345 1453230414 1614700460 2422050690 2906460828 3633076035 4844101380 7266152070 14532304140