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30141902084922 = 234716194233569
BaseRepresentation
bin1101101101001111101010…
…10111011101101100111010
310221201112111222111120020000
412312213311113131230322
512422321103413204142
6144034555413213430
76230452301250465
oct666476527355472
9127645458446200
1030141902084922
119671121a24801
123469852031276
1313a84a50b4a84
14762c394662dc
153740d79bb14c
hex1b69f55ddb3a

30141902084922 has 80 divisors (see below), whose sum is σ = 68602123022400. Its totient is φ = 9889784190720.

The previous prime is 30141902084911. The next prime is 30141902084963. The reversal of 30141902084922 is 22948020914103.

30141902084922 is a `hidden beast` number, since 3 + 0 + 1 + 419 + 0 + 208 + 4 + 9 + 22 = 666.

It is a super-2 number, since 2×301419020849222 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5002954 + ... + 9236522.

It is an arithmetic number, because the mean of its divisors is an integer number (857526537780).

Almost surely, 230141902084922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30141902084922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34301061511200).

30141902084922 is an abundant number, since it is smaller than the sum of its proper divisors (38460220937478).

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

30141902084922 is a wasteful number, since it uses less digits than its factorization.

30141902084922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234273 (or 4234264 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 30141902084922 in words is "thirty trillion, one hundred forty-one billion, nine hundred two million, eighty-four thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 619 639 1238 1278 1857 1917 3714 3834 5571 5751 11142 11502 16713 33426 43949 50139 87898 100278 131847 263694 395541 791082 1186623 2373246 3559869 4233569 7119738 8467138 12700707 25401414 38102121 76204242 114306363 228612726 300583399 342919089 601166798 685838178 901750197 1803500394 2620579211 2705250591 5241158422 5410501182 7861737633 8115751773 15723475266 16231503546 23585212899 24347255319 47170425798 48694510638 70755638697 141511277394 186061123981 212266916091 372122247962 424533832182 558183371943 1116366743886 1674550115829 3349100231658 5023650347487 10047300694974 15070951042461 30141902084922