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214021341432 = 2332191429109481
BaseRepresentation
bin1100011101010010101…
…0101000000011111000
3202110102111220122000100
43013110222220003320
512001303430411212
6242153044035400
721314435246313
oct3072452500370
9673374818010
10214021341432
1182847516588
123558b392b60
131724a190c02
14a50435197a
1558793c0bdc
hex31d4aa80f8

214021341432 has 96 divisors (see below), whose sum is σ = 610581114000. Its totient is φ = 67537774080.

The previous prime is 214021341421. The next prime is 214021341437. The reversal of 214021341432 is 234143120412.

214021341432 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 213 + 414 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214021341396 and 214021341405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214021341437) 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 23 ways as a sum of consecutive naturals, for example, 1900132 + ... + 2009612.

Almost surely, 2214021341432 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 214021341432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305290557000).

214021341432 is an abundant number, since it is smaller than the sum of its proper divisors (396559772568).

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

214021341432 is a wasteful number, since it uses less digits than its factorization.

214021341432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110941 (or 110934 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214021341432 its reverse (234143120412), we get a palindrome (448164461844).

The spelling of 214021341432 in words is "two hundred fourteen billion, twenty-one million, three hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 1429 2858 4287 5716 8574 11432 12861 17148 25722 27151 34296 51444 54302 81453 102888 108604 109481 162906 217208 218962 244359 325812 328443 437924 488718 651624 656886 875848 977436 985329 1313772 1954872 1970658 2080139 2627544 3941316 4160278 6240417 7882632 8320556 12480834 16641112 18721251 24961668 37442502 49923336 74885004 149770008 156448349 312896698 469345047 625793396 938690094 1251586792 1408035141 1877380188 2816070282 2972518631 3754760376 5632140564 5945037262 8917555893 11264281128 11890074524 17835111786 23780149048 26752667679 35670223572 53505335358 71340447144 107010670716 214021341432