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114542111254144 = 277424333012683
BaseRepresentation
bin11010000010110011101001…
…110110100110011010000000
3120000120010012200012120000011
4122002303221312212122000
5110003124220440113034
61043335530335234304
733061252203252130
oct3202635166463200
9500503180176004
10114542111254144
1133551044772832
1210a1b041378994
134bbb3757c8702
14203dc2120aac0
15d39783324864
hex682ce9da6680

114542111254144 has 64 divisors (see below), whose sum is σ = 260794075026240. Its totient is φ = 49088303087616.

The previous prime is 114542111254117. The next prime is 114542111254171. The reversal of 114542111254144 is 441452111245411.

It is an interprime number because it is at equal distance from previous prime (114542111254117) and next prime (114542111254171).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 114542111254097 and 114542111254106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36513627 + ... + 39526309.

It is an arithmetic number, because the mean of its divisors is an integer number (4074907422285).

Almost surely, 2114542111254144 is an apocalyptic number.

114542111254144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114542111254144 is an abundant number, since it is smaller than the sum of its proper divisors (146251963772096).

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

114542111254144 is an equidigital number, since it uses as much as digits as its factorization.

114542111254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055137 (or 3055125 counting only the distinct ones).

The product of its digits is 102400, while the sum is 40.

Adding to 114542111254144 its reverse (441452111245411), we get a palindrome (555994222499555).

The spelling of 114542111254144 in words is "one hundred fourteen trillion, five hundred forty-two billion, one hundred eleven million, two hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 42433 84866 169732 297031 339464 594062 678928 1188124 1357856 2376248 2715712 3012683 4752496 5431424 6025366 9504992 12050732 19009984 21088781 24101464 38019968 42177562 48202928 84355124 96405856 168710248 192811712 337420496 385623424 674840992 1349681984 2699363968 127837177739 255674355478 511348710956 894860244173 1022697421912 1789720488346 2045394843824 3579440976692 4090789687648 7158881953384 8181579375296 14317763906768 16363158750592 28635527813536 57271055627072 114542111254144