Search a number
-
+
34154425145401 = 1161181192809249
BaseRepresentation
bin1111100010000001100100…
…11000001101100000111001
311110221010112121112122120221
413301000302120031200321
513434041230314123101
6200350154252020041
710123401331441201
oct761006230154071
9143833477478527
1034154425145401
11a9788a0655030
1239b7433a61621
131609996512562
14861123a5d401
153e367d0b7aa1
hex1f103260d839

34154425145401 has 16 divisors (see below), whose sum is σ = 37872285840000. Its totient is φ = 30538773158400.

The previous prime is 34154425145387. The next prime is 34154425145459. The reversal of 34154425145401 is 10454152445143.

It is a cyclic number.

It is not a de Polignac number, because 34154425145401 - 229 = 34153888274489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34154425145461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10753225 + ... + 13562473.

It is an arithmetic number, because the mean of its divisors is an integer number (2367017865000).

Almost surely, 234154425145401 is an apocalyptic number.

It is an amenable number.

34154425145401 is a deficient number, since it is larger than the sum of its proper divisors (3717860694599).

34154425145401 is a wasteful number, since it uses less digits than its factorization.

34154425145401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827440.

The product of its (nonzero) digits is 768000, while the sum is 43.

The spelling of 34154425145401 in words is "thirty-four trillion, one hundred fifty-four billion, four hundred twenty-five million, one hundred forty-five thousand, four hundred one".

Divisors: 1 11 61 671 18119 199309 1105259 2809249 12157849 30901739 171364189 1885006079 50900782631 559908608941 3104947740491 34154425145401