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214331141200 = 24521148711623
BaseRepresentation
bin1100011110011100100…
…0011010110001010000
3202111020002212002101211
43013213020122301100
512002422233004300
6242243512105504
721325216432531
oct3074710326120
9674202762354
10214331141200
1182996383750
1235657095294
1317299410397
14a533556688
1558966b84ba
hex31e721ac50

214331141200 has 60 divisors (see below), whose sum is σ = 561742447968. Its totient is φ = 77938595200.

The previous prime is 214331141177. The next prime is 214331141231. The reversal of 214331141200 is 2141133412.

214331141200 is digitally balanced in base 3, 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 (22).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24351412 + ... + 24360211.

Almost surely, 2214331141200 is an apocalyptic number.

214331141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214331141200 is an abundant number, since it is smaller than the sum of its proper divisors (347411306768).

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

214331141200 is a wasteful number, since it uses less digits than its factorization.

214331141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48711652 (or 48711641 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 214331141200 its reverse (2141133412), we get a palindrome (216472274612).

The spelling of 214331141200 in words is "two hundred fourteen billion, three hundred thirty-one million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 48711623 97423246 194846492 243558115 389692984 487116230 535827853 779385968 974232460 1071655706 1217790575 1948464920 2143311412 2435581150 2679139265 3896929840 4286622824 4871162300 5358278530 8573245648 9742324600 10716557060 13395696325 19484649200 21433114120 26791392650 42866228240 53582785300 107165570600 214331141200