Search a number
-
+
34235311353243 = 37111311400370081
BaseRepresentation
bin1111100100011000001111…
…00100100110110110011011
311111012212022201012202012120
413302030013210212312123
513441402404201300433
6200451252424112323
710132263634036140
oct762140744466633
9144185281182176
1034235311353243
11a9aa128823190
123a0b0486056a3
1316144b71220c0
14864dd83a43c7
153e581428b7b3
hex1f2307926d9b

34235311353243 has 32 divisors (see below), whose sum is σ = 61288389560832. Its totient is φ = 16416532915200.

The previous prime is 34235311353209. The next prime is 34235311353259.

34235311353243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34235311353243 - 225 = 34235277798811 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34235311353195 and 34235311353204.

It is not an unprimeable number, because it can be changed into a prime (34235311353143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5700182038 + ... + 5700188043.

It is an arithmetic number, because the mean of its divisors is an integer number (1915262173776).

Almost surely, 234235311353243 is an apocalyptic number.

34235311353243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34235311353243 is a deficient number, since it is larger than the sum of its proper divisors (27053078207589).

34235311353243 is a wasteful number, since it uses less digits than its factorization.

34235311353243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11400370115.

The product of its digits is 1166400, while the sum is 42.

It can be divided in two parts, 3423531 and 1353243, that added together give a palindrome (4776774).

The spelling of 34235311353243 in words is "thirty-four trillion, two hundred thirty-five billion, three hundred eleven million, three hundred fifty-three thousand, two hundred forty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 11400370081 34201110243 79802590567 125404070891 148204811053 239407771701 376212212673 444614433159 877828496237 1037433677371 1630252921583 2633485488711 3112301032113 4890758764749 11411770451081 34235311353243