Search a number
-
+
34123440233144 = 2319314721467893
BaseRepresentation
bin1111100001000111110111…
…00010001001101010111000
311110211011120012222000121002
413300203323202021222320
513433034301144430034
6200324031513504132
710121223442151063
oct760437342115270
9143734505860532
1034123440233144
11a966740462929
1239b1427112048
131606a99093852
1485d8248b38da
153e2967c8ce7e
hex1f08fb889ab8

34123440233144 has 32 divisors (see below), whose sum is σ = 64028280662640. Its totient is φ = 17049235852800.

The previous prime is 34123440233033. The next prime is 34123440233149. The reversal of 34123440233144 is 44133204432143.

It is a super-2 number, since 2×341234402331442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34123440233098 and 34123440233107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34123440233149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72696062 + ... + 73163954.

Almost surely, 234123440233144 is an apocalyptic number.

It is an amenable number.

34123440233144 is a deficient number, since it is larger than the sum of its proper divisors (29904840429496).

34123440233144 is a wasteful number, since it uses less digits than its factorization.

34123440233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474551 (or 474547 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 34123440233144 its reverse (44133204432143), we get a palindrome (78256644665287).

The spelling of 34123440233144 in words is "thirty-four trillion, one hundred twenty-three billion, four hundred forty million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 1931 3862 4721 7724 9442 15448 18884 37768 467893 935786 1871572 3743144 9116251 18232502 36465004 72930008 903501383 1807002766 2208922853 3614005532 4417845706 7228011064 8835691412 17671382824 4265430029143 8530860058286 17061720116572 34123440233144