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30142030014 = 2337145717203
BaseRepresentation
bin11100000100100110…
…101110000010111110
32212210122112202221000
4130010212232002332
5443212324430024
621502544151130
72114643012345
oct340446560276
985718482830
1030142030014
1111868432308
125a126084a6
132ac4933425
14165d25ab5c
15bb6331cc9
hex7049ae0be

30142030014 has 64 divisors (see below), whose sum is σ = 68078292480. Its totient is φ = 9883581120.

The previous prime is 30142030003. The next prime is 30142030021. The reversal of 30142030014 is 41003024103.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 1743537 + ... + 1760739.

It is an arithmetic number, because the mean of its divisors is an integer number (1063723320).

Almost surely, 230142030014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30142030014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34039146240).

30142030014 is an abundant number, since it is smaller than the sum of its proper divisors (37936262466).

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

30142030014 is a wasteful number, since it uses less digits than its factorization.

30142030014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17742 (or 17736 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30142030014 its reverse (41003024103), we get a palindrome (71145054117).

The spelling of 30142030014 in words is "thirty billion, one hundred forty-two million, thirty thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 457 639 914 1278 1371 1917 2742 3834 4113 8226 12339 17203 24678 32447 34406 51609 64894 97341 103218 154827 194682 292023 309654 464481 584046 876069 928962 1221413 1752138 2442826 3664239 7328478 7861771 10992717 15723542 21985434 23585313 32978151 47170626 65956302 70755939 141511878 212267817 424535634 558185741 1116371482 1674557223 3349114446 5023671669 10047343338 15071015007 30142030014