Search a number
-
+
11442702361740 = 223513104471140423
BaseRepresentation
bin1010011010000011011000…
…1101011010010010001100
31111111220121121020210012120
42212200312031122102030
52444434123301033430
640200412131332540
72260464555155646
oct246406615322214
944456547223176
1011442702361740
113711906199761
121349809a51150
13650071947360
142b7b88b91896
1514c9b6e39610
hexa683635a48c

11442702361740 has 96 divisors (see below), whose sum is σ = 34504724653056. Its totient is φ = 2816618177280.

The previous prime is 11442702361729. The next prime is 11442702361781. The reversal of 11442702361740 is 4716320724411.

It is a junction number, because it is equal to n+sod(n) for n = 11442702361692 and 11442702361701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81417169 + ... + 81557591.

It is an arithmetic number, because the mean of its divisors is an integer number (359424215136).

Almost surely, 211442702361740 is an apocalyptic number.

11442702361740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442702361740 is an abundant number, since it is smaller than the sum of its proper divisors (23062022291316).

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

11442702361740 is a wasteful number, since it uses less digits than its factorization.

11442702361740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244919 (or 244917 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 11442702361740 in words is "eleven trillion, four hundred forty-two billion, seven hundred two million, three hundred sixty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 104471 140423 208942 280846 313413 417884 421269 522355 561692 626826 702115 842538 1044710 1253652 1358123 1404230 1567065 1685076 1825499 2089420 2106345 2716246 2808460 3134130 3650998 4074369 4212690 5432492 5476497 6268260 6790615 7301996 8148738 8425380 9127495 10952994 13581230 16297476 18254990 20371845 21905988 27162460 27382485 36509980 40743690 54764970 81487380 109529940 14670131233 29340262466 44010393699 58680524932 73350656165 88020787398 146701312330 176041574796 190711706029 220051968495 293402624660 381423412058 440103936990 572135118087 762846824116 880207873980 953558530145 1144270236174 1907117060290 2288540472348 2860675590435 3814234120580 5721351180870 11442702361740