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214140525030 = 232523436014003
BaseRepresentation
bin1100011101101111000…
…1010001100111100110
3202110201211011210011200
43013123301101213212
512002024433300110
6242212542343330
721320413300335
oct3073361214746
9673654153150
10214140525030
11828a881aa23
123560328ab46
1317268a90353
14a5160d7d1c
155884ab46c0
hex31dbc519e6

214140525030 has 192 divisors, whose sum is σ = 595621458432. Its totient is φ = 53249011200.

The previous prime is 214140525029. The next prime is 214140525047. The reversal of 214140525030 is 30525041412.

214140525030 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 405 + 250 + 3 + 0 = 666.

214140525030 is a modest number, since divided by 525030 gives 214140 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 214140524985 and 214140525003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53493009 + ... + 53497011.

It is an arithmetic number, because the mean of its divisors is an integer number (3102195096).

Almost surely, 2214140525030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214140525030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297810729216).

214140525030 is an abundant number, since it is smaller than the sum of its proper divisors (381480933402).

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

214140525030 is a wasteful number, since it uses less digits than its factorization.

214140525030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 214140525030 its reverse (30525041412), we get a palindrome (244665566442).

The spelling of 214140525030 in words is "two hundred fourteen billion, one hundred forty million, five hundred twenty-five thousand, thirty".