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214011820140 = 22353687196739
BaseRepresentation
bin1100011101010000011…
…0010011100001101100
3202110101211222220020220
43013110012103201230
512001244011221030
6242152104011340
721314261312406
oct3072406234154
9673354886226
10214011820140
1182842103048
1235588160b50
1317248209201
14a502d93b76
15587863ea10
hex31d419386c

214011820140 has 48 divisors (see below), whose sum is σ = 599255543040. Its totient is φ = 57067680960.

The previous prime is 214011820111. The next prime is 214011820147. The reversal of 214011820140 is 41028110412.

It is a self number, because there is not a number n which added to its sum of digits gives 214011820140.

It is not an unprimeable number, because it can be changed into a prime (214011820147) 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 15 ways as a sum of consecutive naturals, for example, 2163891 + ... + 2260629.

It is an arithmetic number, because the mean of its divisors is an integer number (12484490480).

Almost surely, 2214011820140 is an apocalyptic number.

214011820140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214011820140 is an abundant number, since it is smaller than the sum of its proper divisors (385243722900).

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

214011820140 is a wasteful number, since it uses less digits than its factorization.

214011820140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133622 (or 133620 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 214011820140 its reverse (41028110412), we get a palindrome (255039930552).

The spelling of 214011820140 in words is "two hundred fourteen billion, eleven million, eight hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 36871 73742 96739 110613 147484 184355 193478 221226 290217 368710 386956 442452 483695 553065 580434 737420 967390 1106130 1160868 1451085 1934780 2212260 2902170 5804340 3566863669 7133727338 10700591007 14267454676 17834318345 21401182014 35668636690 42802364028 53502955035 71337273380 107005910070 214011820140