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200434132334034 = 2341965118301603
BaseRepresentation
bin101101100100101100110101…
…010000100011010111010010
3222021200022112022012122120000
4231210230311100203113102
5202232403100334142114
61550142100320030430
760134613435262464
oct5544546520432722
9867608468178500
10200434132334034
1158956702439475
121a591589462416
1387abb1c138981
14376d0c6d92134
151828b42276e09
hexb64b354235d2

200434132334034 has 40 divisors (see below), whose sum is σ = 472758869645040. Its totient is φ = 63294989157144.

The previous prime is 200434132334021. The next prime is 200434132334071. The reversal of 200434132334034 is 430433231434002.

200434132334034 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 3 + 4 + 13 + 233 + 403 + 4 = 666.

It is a super-3 number, since 3×2004341323340343 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200434132334034.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 32559147724 + ... + 32559153879.

It is an arithmetic number, because the mean of its divisors is an integer number (11818971741126).

Almost surely, 2200434132334034 is an apocalyptic number.

200434132334034 is an abundant number, since it is smaller than the sum of its proper divisors (272324737311006).

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

200434132334034 is a wasteful number, since it uses less digits than its factorization.

200434132334034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65118301636 (or 65118301627 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 200434132334034 its reverse (430433231434002), we get a palindrome (630867363768036).

The spelling of 200434132334034 in words is "two hundred trillion, four hundred thirty-four billion, one hundred thirty-two million, three hundred thirty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 65118301603 130236603206 195354904809 390709809618 586064714427 1172129428854 1237247730457 1758194143281 2474495460914 3516388286562 3711743191371 5274582429843 7423486382742 10549164859686 11135229574113 22270459148226 33405688722339 66811377444678 100217066167017 200434132334034