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11442030221040 = 243576996192379
BaseRepresentation
bin1010011010000000111000…
…1001011001011011110000
31111111211212202111111111120
42212200032021121123300
52444431234214033130
640200221321142240
72260442114106036
oct246401611313360
944454782444446
1011442030221040
1137115a0848481
12134966092a980
1364cc95610773
142b7b237ca556
1514c977e1b910
hexa680e2596f0

11442030221040 has 80 divisors (see below), whose sum is σ = 35474906544000. Its totient is φ = 3050811254016.

The previous prime is 11442030221003. The next prime is 11442030221099. The reversal of 11442030221040 is 4012203024411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11442030221040.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1248430 + ... + 4943949.

It is an arithmetic number, because the mean of its divisors is an integer number (443436331800).

Almost surely, 211442030221040 is an apocalyptic number.

11442030221040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442030221040 is an abundant number, since it is smaller than the sum of its proper divisors (24032876322960).

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

11442030221040 is a wasteful number, since it uses less digits than its factorization.

11442030221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200094 (or 6200088 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11442030221040 its reverse (4012203024411), we get a palindrome (15454233245451).

The spelling of 11442030221040 in words is "eleven trillion, four hundred forty-two billion, thirty million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7699 15398 23097 30796 38495 46194 61592 76990 92388 115485 123184 153980 184776 230970 307960 369552 461940 615920 923880 1847760 6192379 12384758 18577137 24769516 30961895 37154274 49539032 61923790 74308548 92885685 99078064 123847580 148617096 185771370 247695160 297234192 371542740 495390320 743085480 1486170960 47675125921 95350251842 143025377763 190700503684 238375629605 286050755526 381401007368 476751259210 572101511052 715126888815 762802014736 953502518420 1144203022104 1430253777630 1907005036840 2288406044208 2860507555260 3814010073680 5721015110520 11442030221040