Search a number
-
+
30231145440340 = 22513414222167169
BaseRepresentation
bin1101101111110101111001…
…01011110110010001010100
310222001001212111121202002221
412313322330223312101110
512430301341213042330
6144143555124112124
76240061652252245
oct667727453662124
9128031774552087
1030231145440340
1196a5a58527599
123482bb9535644
1313b3a28224060
147672a3a82ccc
153765ac6d6b7a
hex1b7ebcaf6454

30231145440340 has 96 divisors (see below), whose sum is σ = 70039133771040. Its totient is φ = 10889598566400.

The previous prime is 30231145440319. The next prime is 30231145440359. The reversal of 30231145440340 is 4304454113203.

It can be written as a sum of positive squares in 16 ways, for example, as 14974903146564 + 15256242293776 = 3869742^2 + 3905924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30231145440296 and 30231145440305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450042276 + ... + 450109444.

It is an arithmetic number, because the mean of its divisors is an integer number (729574310115).

Almost surely, 230231145440340 is an apocalyptic number.

It is an amenable number.

30231145440340 is an abundant number, since it is smaller than the sum of its proper divisors (39807988330700).

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

30231145440340 is a wasteful number, since it uses less digits than its factorization.

30231145440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109453 (or 109451 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 30231145440340 its reverse (4304454113203), we get a palindrome (34535599553543).

The spelling of 30231145440340 in words is "thirty trillion, two hundred thirty-one billion, one hundred forty-five million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 42221 67169 84442 134338 168884 211105 268676 335845 422210 548873 671690 844420 873197 1097746 1343380 1731061 1746394 2195492 2744365 2753929 3462122 3492788 4365985 5488730 5507858 6924244 8655305 8731970 10977460 11015716 13769645 17310610 17463940 22503793 27539290 34621220 35801077 45007586 55078580 71602154 90015172 112518965 143204308 179005385 225037930 358010770 450075860 716021540 2835942349 5671884698 11343769396 14179711745 28359423490 36867250537 56718846980 73734501074 116273636309 147469002148 184336252685 232547272618 368672505370 465094545236 581368181545 737345010740 1162736363090 1511557272017 2325472726180 3023114544034 6046229088068 7557786360085 15115572720170 30231145440340