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340103442114 = 233371499113557
BaseRepresentation
bin1001111001011111011…
…11101010111011000010
31012111212101121222011000
410330233233222323002
521033012440121424
6420124045032430
733400036362552
oct4745757527302
91174771558130
10340103442114
11121267587997
1255ab7b55716
13260c145b607
1412665359162
158ca82ca3c9
hex4f2fbeaec2

340103442114 has 64 divisors (see below), whose sum is σ = 776736720000. Its totient is φ = 110229263424.

The previous prime is 340103442101. The next prime is 340103442131. The reversal of 340103442114 is 411244301043.

340103442114 is a `hidden beast` number, since 3 + 4 + 0 + 103 + 442 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2938224 + ... + 3051780.

It is an arithmetic number, because the mean of its divisors is an integer number (12136511250).

Almost surely, 2340103442114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340103442114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388368360000).

340103442114 is an abundant number, since it is smaller than the sum of its proper divisors (436633277886).

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

340103442114 is a wasteful number, since it uses less digits than its factorization.

340103442114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115104 (or 115098 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 340103442114 its reverse (411244301043), we get a palindrome (751347743157).

The spelling of 340103442114 in words is "three hundred forty billion, one hundred three million, four hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1499 1998 2998 4497 8994 13491 26982 40473 55463 80946 110926 113557 166389 227114 332778 340671 499167 681342 998334 1022013 1497501 2044026 2995002 3066039 4201609 6132078 8403218 12604827 25209654 37814481 75628962 113443443 170221943 226886886 340443886 510665829 1021331658 1531997487 3063994974 4595992461 6298211891 9191984922 12596423782 18894635673 37789271346 56683907019 113367814038 170051721057 340103442114