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434132000231434 = 217432029146349883
BaseRepresentation
bin110001010110101110011101…
…1101010001101000000001010
32002221010121120112101002212121
41202231130323222031000022
5423400304314024401214
64135153253155201454
7160305000446646601
oct14255347352150012
92087117515332777
10434132000231434
1111636739037297a
12408358345a628a
1315831619b85a3b
14792c15ad18a38
15352cb82632424
hex18ad73ba8d00a

434132000231434 has 32 divisors (see below), whose sum is σ = 705886468499520. Its totient is φ = 199447960787712.

The previous prime is 434132000231393. The next prime is 434132000231443.

434132000231434 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 434132000231434.

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 15 ways as a sum of consecutive naturals, for example, 70208544 + ... + 76141339.

It is an arithmetic number, because the mean of its divisors is an integer number (22058952140610).

Almost surely, 2434132000231434 is an apocalyptic number.

434132000231434 is a deficient number, since it is larger than the sum of its proper divisors (271754468268086).

434132000231434 is a wasteful number, since it uses less digits than its factorization.

434132000231434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146351974.

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 434132000 and 231434, that added together give a palindrome (434363434).

The spelling of 434132000231434 in words is "four hundred thirty-four trillion, one hundred thirty-two billion, two hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 17 34 43 86 731 1462 2029 4058 34493 68986 87247 174494 1483199 2966398 146349883 292699766 2487948011 4975896022 6293044969 12586089938 106981764473 213963528946 296943912607 593887825214 5048046514319 10096093028638 12768588242101 25537176484202 217066000115717 434132000231434