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1344714911496 = 233211314032003
BaseRepresentation
bin10011100100010111010…
…000010010111100001000
311202112221111100022101100
4103210113100102330020
5134012434004131441
62505430431221400
7166103201104005
oct23442720227410
94675844308340
101344714911496
11479321569000
12198746377860
1399a62c2ba58
14491280068ac
1524ea47eccb6
hex13917412f08

1344714911496 has 96 divisors (see below), whose sum is σ = 4005856501920. Its totient is φ = 407489338080.

The previous prime is 1344714911413. The next prime is 1344714911497. The reversal of 1344714911496 is 6941194174431.

1344714911496 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 7 + 1 + 491 + 149 + 6 = 666.

It is a super-2 number, since 2×13447149114962 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1344714911497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6920170 + ... + 7111833.

It is an arithmetic number, because the mean of its divisors is an integer number (41727671895).

Almost surely, 21344714911496 is an apocalyptic number.

It is an amenable number.

1344714911496 is an abundant number, since it is smaller than the sum of its proper divisors (2661141590424).

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

1344714911496 is a wasteful number, since it uses less digits than its factorization.

1344714911496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14032048 (or 14032019 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 1344714911496 in words is "one trillion, three hundred forty-four billion, seven hundred fourteen million, nine hundred eleven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1331 1452 2178 2662 2904 3993 4356 5324 7986 8712 10648 11979 15972 23958 31944 47916 95832 14032003 28064006 42096009 56128012 84192018 112256024 126288027 154352033 168384036 252576054 308704066 336768072 463056099 505152108 617408132 926112198 1010304216 1234816264 1389168297 1697872363 1852224396 2778336594 3395744726 3704448792 5093617089 5556673188 6791489452 10187234178 11113346376 13582978904 15280851267 18676595993 20374468356 30561702534 37353191986 40748936712 56029787979 61123405068 74706383972 112059575958 122246810136 149412767944 168089363937 224119151916 336178727874 448238303832 672357455748 1344714911496