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12243422440040 = 23511163716998143
BaseRepresentation
bin1011001000101010010011…
…0110000110101001101000
31121100110102011100021220212
42302022210312012221220
53101044012121040130
642012314533440252
72402362264425431
oct262124466065150
947313364307825
1012243422440040
1139a0451866990
121458a354a0088
136aa71bb4305c
143048289da488
1516372d567e95
hexb22a4d86a68

12243422440040 has 64 divisors (see below), whose sum is σ = 30070396661760. Its totient is φ = 4449433649920.

The previous prime is 12243422439991. The next prime is 12243422440061. The reversal of 12243422440040 is 4004422434221.

It is a junction number, because it is equal to n+sod(n) for n = 12243422439979 and 12243422440006.

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, 7778792 + ... + 9219351.

It is an arithmetic number, because the mean of its divisors is an integer number (469849947840).

Almost surely, 212243422440040 is an apocalyptic number.

12243422440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243422440040 is an abundant number, since it is smaller than the sum of its proper divisors (17826974221720).

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

12243422440040 is a wasteful number, since it uses less digits than its factorization.

12243422440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16999802 (or 16999798 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 12243422440040 its reverse (4004422434221), we get a palindrome (16247844874261).

The spelling of 12243422440040 in words is "twelve trillion, two hundred forty-three billion, four hundred twenty-two million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1637 3274 6548 8185 13096 16370 18007 32740 36014 65480 72028 90035 144056 180070 360140 720280 16998143 33996286 67992572 84990715 135985144 169981430 186979573 339962860 373959146 679925720 747918292 934897865 1495836584 1869795730 3739591460 7479182920 27825960091 55651920182 111303840364 139129800455 222607680728 278259600910 306085561001 556519201820 612171122002 1113038403640 1224342244004 1530427805005 2448684488008 3060855610010 6121711220020 12243422440040