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113442115334544 = 243219330713295851
BaseRepresentation
bin11001110010110011001100…
…111111001011000110010000
3112212122221221001211002112100
4121302303030333023012100
5104332113423011201134
61041134331025200400
732615631241230603
oct3162631477130620
9485587831732470
10113442115334544
1133167592749477
1210881a12a90100
134b3b71281b799
1420028b04c633a
15d1ad52dcc999
hex672cccfcb190

113442115334544 has 120 divisors (see below), whose sum is σ = 320164860727712. Its totient is φ = 37495573401600.

The previous prime is 113442115334501. The next prime is 113442115334567. The reversal of 113442115334544 is 445433511244311.

113442115334544 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 21 + 1 + 53 + 34 + 544 = 666.

It is a super-2 number, since 2×1134421153345442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113442115334544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1884219 + ... + 15180069.

Almost surely, 2113442115334544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113442115334544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160082430363856).

113442115334544 is an abundant number, since it is smaller than the sum of its proper divisors (206722745393168).

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

113442115334544 is a wasteful number, since it uses less digits than its factorization.

113442115334544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13296365 (or 13296356 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

Adding to 113442115334544 its reverse (445433511244311), we get a palindrome (558875626578855).

The spelling of 113442115334544 in words is "one hundred thirteen trillion, four hundred forty-two billion, one hundred fifteen million, three hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 307 386 579 614 772 921 1158 1228 1544 1737 1842 2316 2456 2763 3088 3474 3684 4632 4912 5526 6948 7368 9264 11052 13896 14736 22104 27792 44208 59251 118502 177753 237004 355506 474008 533259 711012 948016 1066518 1422024 2133036 2844048 4266072 8532144 13295851 26591702 39887553 53183404 79775106 106366808 119662659 159550212 212733616 239325318 319100424 478650636 638200848 957301272 1914602544 2566099243 4081826257 5132198486 7698297729 8163652514 10264396972 12245478771 15396595458 16327305028 20528793944 23094893187 24490957542 30793190916 32654610056 36736436313 41057587888 46189786374 48981915084 61586381832 65309220112 73472872626 92379572748 97963830168 123172763664 146945745252 184759145496 195927660336 293891490504 369518290992 587782981008 787792467601 1575584935202 2363377402803 3151169870404 4726754805606 6302339740808 7090132208409 9453509611212 12604679481616 14180264416818 18907019222424 28360528833636 37814038444848 56721057667272 113442115334544