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30814102641 = 37173118115383
BaseRepresentation
bin11100101100101010…
…011110010001110001
32221112111011121020210
4130230222132101301
51001101402241031
622053353054333
72140413356640
oct345452362161
987474147223
1030814102641
1112082837433
125b7b6b73a9
132ba0c4503a
1416c4605357
15c05339746
hex72ca9e471

30814102641 has 64 divisors (see below), whose sum is σ = 51607535616. Its totient is φ = 15948057600.

The previous prime is 30814102633. The next prime is 30814102651. The reversal of 30814102641 is 14620141803.

It is not a de Polignac number, because 30814102641 - 23 = 30814102633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30814102599 and 30814102608.

It is not an unprimeable number, because it can be changed into a prime (30814102651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1995436 + ... + 2010818.

It is an arithmetic number, because the mean of its divisors is an integer number (806367744).

Almost surely, 230814102641 is an apocalyptic number.

30814102641 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

30814102641 is a deficient number, since it is larger than the sum of its proper divisors (20793432975).

30814102641 is a wasteful number, since it uses less digits than its factorization.

30814102641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15622.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 30814102641 in words is "thirty billion, eight hundred fourteen million, one hundred two thousand, six hundred forty-one".

Divisors: 1 3 7 17 21 31 51 93 119 181 217 357 527 543 651 1267 1581 3077 3689 3801 5611 9231 11067 15383 16833 21539 39277 46149 64617 95387 107681 117831 261511 286161 323043 476873 667709 784533 1430619 1830577 2003127 2784323 3338111 5491731 8106841 8352969 10014333 19490261 24320523 47333491 56747887 58470783 86314013 142000473 170243661 258942039 331334437 604198091 994003311 1467338221 1812594273 4402014663 10271367547 30814102641