Search a number
-
+
34021232344001 = 731307651509603
BaseRepresentation
bin1111011110001001011110…
…11101111111101111000001
311110110101202011210021211102
413233010233131333233001
513424400440440002001
6200205045520024145
710110644565345020
oct757045735775701
9143411664707742
1034021232344001
11a9273617a9a61
123995661a62055
1315ca25b01c936
148588ca5208b7
153dee84cc8e6b
hex1ef12f77fbc1

34021232344001 has 16 divisors (see below), whose sum is σ = 40135856590848. Its totient is φ = 28220229954000.

The previous prime is 34021232343983. The next prime is 34021232344069. The reversal of 34021232344001 is 10044323212043.

It is not a de Polignac number, because 34021232344001 - 222 = 34021228149697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34021232344501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66505466 + ... + 67015068.

It is an arithmetic number, because the mean of its divisors is an integer number (2508491036928).

Almost surely, 234021232344001 is an apocalyptic number.

34021232344001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34021232344001 is a deficient number, since it is larger than the sum of its proper divisors (6114624246847).

34021232344001 is a wasteful number, since it uses less digits than its factorization.

34021232344001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817292.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34021232344001 its reverse (10044323212043), we get a palindrome (44065555556044).

The spelling of 34021232344001 in words is "thirty-four trillion, twenty-one billion, two hundred thirty-two million, three hundred forty-four thousand, one".

Divisors: 1 7 31 217 307651 509603 2153557 3567221 9537181 15797693 66760267 110583851 156779872553 1097459107871 4860176049143 34021232344001